RLADS
Final Project and Presentation

1 資料來源與主題說明

打算回答什麼問題？ 探討疫情期間確診病例數與股市之間各面向的關係

資料來源: [美股] * 資料區間：2020/01/01~2021/04/30 * 美國病例數：Our World in Data，是英國牛津大學全球變化數據實驗室的科學出版物 * sp500各類股歷史資料：MarketWatch，是一個提供金融信息、商業新聞、分析和股市數據的網站，道瓊公司的子公司(sp500將美國產業分成11大類股)

[台股] * 資料區間：2020/04/01~2021/05/31 * 台灣病例數：台灣疫情報告(https://covid-19.nchc.org.tw/dt_005-covidTable_taiwan.php) * 使用r語言的quantmod包中的getSymbols函數擷取股價資料，資料來源自yahoo finance * 類股指數資料來源：來自台灣證券交易所公布之3-5月資料

情緒分析 *

2 資料前處理

對資料表進行初步檢視後，進行整理，以便後續進行資料視覺化。

import packages

library(htmlwidgets)
library(webshot)
library(dplyr)
library(zoo)
library(pracma)
library(ggplot2)
library(plotly)
library(dygraphs)
library(xts)
library(caret)
library(tidyr)
library(ggpmisc)

定義後續使用之函數

# 計算標準化數據與其七日簡單平均、七日指數平均、變動率
getMA_ROC <- function(df, prefix){
  df$Date <- as.Date(df$Date)
  df[prefix] <- as.numeric(unlist(df[prefix]))
  preproc1 <- preProcess(df[prefix], method=c("center", "scale"))
  df['norm'] <- predict(preproc1, df[prefix])
  df['ROC'] <- (df[prefix] - lag(df[prefix]))/(lag(df[prefix])+1)
  df['7MA'] <- movavg(unlist(df['norm']),7, type="s")
  df['7EMA'] <- movavg(unlist(df['norm']),7, type="e")
  colnames(df) <- c("Date", prefix, paste0(prefix, c("_std","_ROC", "_7MA", "_7EMA")))
  return(df)
}

# 計算台灣各類股繪圖資料
tw_cat_rmse <- function(df){
  na = colnames(df[2])
  df['real'] <- df[5]
  df['pred'] <- df[3]
  df['origin'] <- df[4]
  df['residues'] = df['pred'] - df['real']
  df['group'] = c(rep(seq(as.Date("2021-04-03"), as.Date("2021-05-28"), 5), each = 5), rep(as.Date("2021-06-02"),3)) # 補最後三個
  df = df %>% group_by(group) %>%
    summarise(rmse = sqrt(mean(sum(residues**2))), cases = sum(origin), sign = mean(sum(residues)), category = na)
  return(df)
}

2.1 讀取原始資料

# read data
list.files("../rlads_Final_Project/data/stock")

## [1] "BTC-Oil-Gold-COVID.csv" "SP500_USnewcases.csv"   "SP500.csv"             
## [4] "TAIEX_7MA.csv"          "TAIEX_ROC.csv"          "TAIEX-COVID.csv"       
## [7] "TAIEX.csv"

# [1] "BTC-Oil-Gold-COVID.csv" "SP500.csv" "SP500_USnewcases.csv"   "TAIEX-COVID.csv"        "TAIEX.csv"              "TAIEX_7MA.csv"          "TAIEX_ROC.csv"         

btc_oil_gold = read.csv("../rlads_Final_Project/data/stock/BTC-Oil-Gold-COVID.csv", encoding = "UTF-8") # 比特幣-原油-黃金價格,七日簡單均線,變動率
US_SP500_ALL = read.csv("../rlads_Final_Project/data/stock/SP500.csv", encoding = "UTF-8") # 美股標普五百指數原始數值
US_SP500_CAT = read.csv("../rlads_Final_Project/data/stock/SP500_USnewcases.csv", encoding = "UTF-8") # 美股標普五百各類原始數值
TAIEX_COVID = read.csv("../rlads_Final_Project/data/stock/TAIEX-COVID.csv", encoding = "UTF-8") # 台股大盤,七日簡單均線,變動率
TAIEX = read.csv("../rlads_Final_Project/data/stock/TAIEX.csv", encoding = "UTF-8") # 台股類股原始數值
TAIEX_7MA = read.csv("../rlads_Final_Project/data/stock/TAIEX_7MA.csv", encoding = "UTF-8") # 台股類股七日簡單均線
TAIEX_ROC = read.csv("../rlads_Final_Project/data/stock/TAIEX_ROC.csv", encoding = "UTF-8") # 台股類股變動率

# 整合至資料列表
data_list = list(btc_oil_gold, US_SP500_ALL, US_SP500_CAT, TAIEX_COVID, TAIEX, TAIEX_7MA, TAIEX_ROC)
names(data_list) = gsub("-", "_",list.files('data\\stock'))

2.2 整理欄位名稱與重新分類資料表

# get column names
col_names = lapply(data_list, colnames)

# rename data frame columns
col_names[[7]] = paste0(col_names[[7]], "_ROC")
col_names[[6]] = paste0(col_names[[6]], "_7MA")
col_names[[4]] = c("Date", "大盤", "大盤_ROC", "大盤_7MA", "大盤_7EMA", "TW_COVID", "TW_COVID_ROC" ,"TW_COVID_7MA", "TW_COVID_7EMA", "TW_COVID_CUM")
col_names[[1]][1] = "Date"

# rename data frame columns
for (i in 1:length(data_list)){
  names(data_list[[i]]) <- col_names[[i]]
}

重新分類data frame，原本的data frame含有重複的欄位(例如疫情資料)，僅保留所需欄位後，分類各類別資料並獨立各自成表。

TW_COVID = data_list[[4]][c("Date", "TW_COVID","TW_COVID_ROC" ,"TW_COVID_7MA", "TW_COVID_7EMA", "TW_COVID_CUM" )]
US_COVID = data_list[[1]][c("Date","new_cases","new_cases_ROC","new_cases_7MA", "total_cases")]
colnames(US_COVID) <- c("Date", "US_COVID","US_COVID_ROC" ,"US_COVID_7MA", "US_COVID_CUM")
BTC = data_list[[1]][c("Date","BTC","BTC_7MA", "BTC_ROC")]
OIL = data_list[[1]][c("Date","Oil","Oil_7MA", "Oil_ROC")]
GOLD = data_list[[1]][c("Date","Gold","Gold_7MA", "Gold_ROC")]
TAIEX_ALL = data_list[[4]][c("Date", "大盤", "大盤_ROC", "大盤_7MA", "大盤_7EMA" )]
TAIEX_CAT = list(data_list[[5]][,2:34], data_list[[6]][,2:34], data_list[[7]][,2:34]) # 只保留類股數據與日期
US_SP500_CAT[c("X", "NewCases")] <- NULL # 要另外計算7MA, ROC
# US_SP500_ALL, US_SP500_CAT要另外計算7MA, ROC

# 整理後新的data_list
data_list = list(TW_COVID, US_COVID, BTC, OIL, GOLD, TAIEX_ALL, US_SP500_ALL)
head(data_list[[1]])

##       Date TW_COVID TW_COVID_ROC TW_COVID_7MA TW_COVID_7EMA TW_COVID_CUM
## 1 2021/4/1        6    0.0000000     3.428571      3.428571         1036
## 2 2021/4/2        3   -0.5596158     3.714286      3.321429         1039
## 3 2021/4/3        6    0.5596158     3.571429      3.991071         1045
## 4 2021/4/4        2   -0.8472979     3.571429      3.493304         1047
## 5 2021/4/5        1   -0.4054651     3.571429      2.869978         1048
## 6 2021/4/6        2    0.4054651     3.714286      2.652483         1050

2.3 計算標準化後數值

col <- c("TW_COVID", "US_COVID", "BTC", "Oil", "Gold", "大盤", "SP500")

for (i in 1:length(data_list)){
  pref <- col[i]
  dat <- data_list[[i]]
  data_list[[i]] <- getMA_ROC(dat[c("Date",pref)], prefix = pref)
}
data_list

## [[1]]
##          Date TW_COVID TW_COVID_std TW_COVID_ROC TW_COVID_7MA TW_COVID_7EMA
## 1  2021-04-01        6   -0.5921804           NA  -0.59218041    -0.5921804
## 2  2021-04-02        3   -0.6062040 -0.428571429  -0.59919219    -0.5956863
## 3  2021-04-03        6   -0.5921804  0.750000000  -0.59685493    -0.5948098
## 4  2021-04-04        2   -0.6108785 -0.571428571  -0.60036082    -0.5988270
## 5  2021-04-05        1   -0.6155530 -0.333333333  -0.60339926    -0.6030085
## 6  2021-04-06        2   -0.6108785  0.500000000  -0.60464580    -0.6049760
## 7  2021-04-07        0   -0.6202275 -0.666666667  -0.60687176    -0.6087889
## 8  2021-04-08        0   -0.6202275  0.000000000  -0.61087850    -0.6116486
## 9  2021-04-09        4   -0.6015295  4.000000000  -0.61021071    -0.6091188
## 10 2021-04-10        2   -0.6108785 -0.400000000  -0.61288186    -0.6095587
## 11 2021-04-11        1   -0.6155530 -0.333333333  -0.61354965    -0.6110573
## 12 2021-04-12        1   -0.6155530  0.000000000  -0.61354965    -0.6121812
## 13 2021-04-13        4   -0.6015295  1.500000000  -0.61221408    -0.6095183
## 14 2021-04-14        5   -0.5968549  0.200000000  -0.60887513    -0.6063524
## 15 2021-04-15        1   -0.6155530 -0.666666667  -0.60820734    -0.6086526
## 16 2021-04-16        2   -0.6108785  0.500000000  -0.60954292    -0.6092091
## 17 2021-04-17        2   -0.6108785  0.000000000  -0.60954292    -0.6096264
## 18 2021-04-18        1   -0.6155530 -0.333333333  -0.60954292    -0.6111081
## 19 2021-04-19        3   -0.6062040  1.000000000  -0.60820734    -0.6098820
## 20 2021-04-20        2   -0.6108785 -0.250000000  -0.60954292    -0.6101312
## 21 2021-04-21        4   -0.6015295  0.666666667  -0.61021071    -0.6079807
## 22 2021-04-22        4   -0.6015295  0.000000000  -0.60820734    -0.6063679
## 23 2021-04-23        4   -0.6015295  0.000000000  -0.60687176    -0.6051583
## 24 2021-04-24        7   -0.5875059  0.600000000  -0.60353282    -0.6007452
## 25 2021-04-25        3   -0.6062040 -0.500000000  -0.60219724    -0.6021099
## 26 2021-04-26        4   -0.6015295  0.250000000  -0.60152945    -0.6019648
## 27 2021-04-27        6   -0.5921804  0.400000000  -0.59885830    -0.5995187
## 28 2021-04-28        6   -0.5921804  0.000000000  -0.59752272    -0.5976841
## 29 2021-04-29        5   -0.5968549 -0.142857143  -0.59685493    -0.5974768
## 30 2021-04-30        7   -0.5875059  0.333333333  -0.59485156    -0.5949841
## 31 2021-05-01        4   -0.6015295 -0.375000000  -0.59685493    -0.5966204
## 32 2021-05-02        5   -0.5968549  0.200000000  -0.59551935    -0.5966791
## 33 2021-05-03        8   -0.5828314  0.500000000  -0.59284820    -0.5932171
## 34 2021-05-04        8   -0.5828314  0.000000000  -0.59151262    -0.5906207
## 35 2021-05-05        7   -0.5875059 -0.111111111  -0.59084483    -0.5898420
## 36 2021-05-06       13   -0.5594587  0.750000000  -0.58550252    -0.5822462
## 37 2021-05-07        5   -0.5968549 -0.571428571  -0.58683810    -0.5858984
## 38 2021-05-08        5   -0.5968549  0.000000000  -0.58617031    -0.5886375
## 39 2021-05-09        1   -0.6155530 -0.666666667  -0.58884146    -0.5953664
## 40 2021-05-10       15   -0.5501097  7.000000000  -0.58416694    -0.5840522
## 41 2021-05-11       11   -0.5688078 -0.250000000  -0.58216357    -0.5802411
## 42 2021-05-12       21   -0.5220626  0.833333333  -0.57281453    -0.5656965
## 43 2021-05-13       25   -0.5033645  0.181818182  -0.56480106    -0.5501135
## 44 2021-05-14       34   -0.4612938  0.346153846  -0.54543518    -0.5279085
## 45 2021-05-15      185    0.2445592  4.314285714  -0.42523317    -0.3347916
## 46 2021-05-16      207    0.3473987  0.118279570  -0.28766864    -0.1642441
## 47 2021-05-17      335    0.9457376  0.615384615  -0.07397618     0.1132514
## 48 2021-05-18      243    0.5156815 -0.273809524   0.08095086     0.2138589
## 49 2021-05-19      273    0.6559172  0.122950820   0.24923368     0.3243734
## 50 2021-05-20      292    0.7447331  0.069343066   0.42753333     0.4294634
## 51 2021-05-21      314    0.8475726  0.075085324   0.61451424     0.5339907
## 52 2021-05-22      723    2.7594524  1.298412698   0.97378470     1.0903561
## 53 2021-05-23      460    1.5300529 -0.363259669   1.14273530     1.2002803
## 54 2021-05-24      595    2.1611135  0.292841649   1.31636043     1.4404886
## 55 2021-05-25      539    1.8993402 -0.093959732   1.51402596     1.5552015
## 56 2021-05-26      635    2.3480944  0.177777778   1.75576557     1.7534247
## 57 2021-05-27      670    2.5117027  0.055031447   2.00818979     1.9429942
## 58 2021-05-28      554    1.9694580 -0.172876304   2.16845914     1.9496102
## 59 2021-05-29      491    1.6749631 -0.113513514   2.01353210     1.8809484
## 60 2021-05-30      354    1.0345535 -0.278455285   1.94274647     1.6693497
## 61 2021-05-31      351    1.0205299 -0.008450704   1.77980597     1.5071447
## 62 2021-06-01      331    0.9270395 -0.056818182   1.64090586     1.3621184
## 63 2021-06-02      547    1.9367364  0.650602410   1.58214044     1.5057729
## 
## [[2]]
##           Date US_COVID  US_COVID_std  US_COVID_ROC  US_COVID_7MA US_COVID_7EMA
## 1   2020-01-01        0 -1.0110082462            NA -1.0110082462 -1.0110082462
## 2   2020-01-02        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 3   2020-01-03        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 4   2020-01-04        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 5   2020-01-05        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 6   2020-01-06        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 7   2020-01-07        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 8   2020-01-08        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 9   2020-01-09        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 10  2020-01-10        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 11  2020-01-11        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 12  2020-01-12        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 13  2020-01-13        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 14  2020-01-14        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 15  2020-01-15        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 16  2020-01-16        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 17  2020-01-17        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 18  2020-01-18        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 19  2020-01-19        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 20  2020-01-20        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 21  2020-01-21        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 22  2020-01-22        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 23  2020-01-23        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110082462
## 24  2020-01-24        1 -1.0109930563  1.0000000000 -1.0110060762 -1.0110044487
## 25  2020-01-25        0 -1.0110082462 -0.5000000000 -1.0110060762 -1.0110053981
## 26  2020-01-26        3 -1.0109626763  3.0000000000 -1.0109995663 -1.0109947177
## 27  2020-01-27        0 -1.0110082462 -0.7500000000 -1.0109995663 -1.0109980998
## 28  2020-01-28        0 -1.0110082462  0.0000000000 -1.0109995663 -1.0110006364
## 29  2020-01-29        1 -1.0109930563  1.0000000000 -1.0109973963 -1.0109987414
## 30  2020-01-30        0 -1.0110082462 -0.5000000000 -1.0109973963 -1.0110011176
## 31  2020-01-31        2 -1.0109778663  2.0000000000 -1.0109952263 -1.0109953048
## 32  2020-02-01        0 -1.0110082462 -0.6666666667 -1.0109952263 -1.0109985401
## 33  2020-02-02        0 -1.0110082462  0.0000000000 -1.0110017363 -1.0110009667
## 34  2020-02-03        3 -1.0109626763  3.0000000000 -1.0109952263 -1.0109913941
## 35  2020-02-04        0 -1.0110082462 -0.7500000000 -1.0109952263 -1.0109956071
## 36  2020-02-05        0 -1.0110082462  0.0000000000 -1.0109973963 -1.0109987669
## 37  2020-02-06        1 -1.0109930563  1.0000000000 -1.0109952263 -1.0109973392
## 38  2020-02-07        0 -1.0110082462 -0.5000000000 -1.0109995663 -1.0110000660
## 39  2020-02-08        0 -1.0110082462  0.0000000000 -1.0109995663 -1.0110021111
## 40  2020-02-09        0 -1.0110082462  0.0000000000 -1.0109995663 -1.0110036449
## 41  2020-02-10        0 -1.0110082462  0.0000000000 -1.0110060762 -1.0110047952
## 42  2020-02-11        1 -1.0109930563  1.0000000000 -1.0110039062 -1.0110018605
## 43  2020-02-12        0 -1.0110082462 -0.5000000000 -1.0110039062 -1.0110034569
## 44  2020-02-13        1 -1.0109930563  1.0000000000 -1.0110039062 -1.0110008567
## 45  2020-02-14        0 -1.0110082462 -0.5000000000 -1.0110039062 -1.0110027041
## 46  2020-02-15        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110040897
## 47  2020-02-16        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110051288
## 48  2020-02-17        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110059082
## 49  2020-02-18        0 -1.0110082462  0.0000000000 -1.0110060762 -1.0110064927
## 50  2020-02-19        0 -1.0110082462  0.0000000000 -1.0110060762 -1.0110069311
## 51  2020-02-20        0 -1.0110082462  0.0000000000 -1.0110082462 -1.0110072599
## 52  2020-02-21        2 -1.0109778663  2.0000000000 -1.0110039062 -1.0109999115
## 53  2020-02-22        0 -1.0110082462 -0.6666666667 -1.0110039062 -1.0110019952
## 54  2020-02-23        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110035579
## 55  2020-02-24        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110047300
## 56  2020-02-25        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110056091
## 57  2020-02-26        0 -1.0110082462  0.0000000000 -1.0110039062 -1.0110062684
## 58  2020-02-27        1 -1.0109930563  1.0000000000 -1.0110017363 -1.0110029653
## 59  2020-02-28        0 -1.0110082462 -0.5000000000 -1.0110060762 -1.0110042856
## 60  2020-02-29        8 -1.0108867264  8.0000000000 -1.0109887163 -1.0109748958
## 61  2020-03-01        7 -1.0109019163 -0.1111111111 -1.0109735263 -1.0109566509
## 62  2020-03-02       23 -1.0106588766  2.0000000000 -1.0109236163 -1.0108822073
## 63  2020-03-03       19 -1.0107196365 -0.1666666667 -1.0108823864 -1.0108415646
## 64  2020-03-04       33 -1.0105069767  0.7000000000 -1.0108107764 -1.0107579176
## 65  2020-03-05       77 -1.0098386174  1.2941176471 -1.0106458566 -1.0105280926
## 66  2020-03-06       53 -1.0102031770 -0.3076923077 -1.0105308467 -1.0104468637
## 67  2020-03-07      166 -1.0084867086  2.0925925926 -1.0101879870 -1.0099568249
## 68  2020-03-08      116 -1.0092462079 -0.2994011976 -1.0099514572 -1.0097791707
## 69  2020-03-09       75 -1.0098689973 -0.3504273504 -1.0098386174 -1.0098016273
## 70  2020-03-10      188 -1.0081525290  1.4868421053 -1.0094718877 -1.0093893527
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## 462 2021-04-06    60544 -0.0913457596 -0.2205844490 -0.0297850881 -0.0581109875
## 463 2021-04-07    75038  0.1288178913  0.2393921876 -0.0124272746 -0.0113787678
## 464 2021-04-08    79878  0.2023374215  0.0644997934 -0.0106196663  0.0420502795
## 465 2021-04-09    82698  0.2451731808  0.0353033964  0.0173016972  0.0928310048
## 466 2021-04-10    66535 -0.0003425561 -0.1954437176  0.0248272500  0.0695376146
## 467 2021-04-11    46380 -0.3064967153 -0.3029187207  0.0495825865 -0.0244709679
## 468 2021-04-12    70230  0.0557844406  0.5142191846  0.0334182719 -0.0044071157
## 469 2021-04-13    77878  0.1719574503  0.1088977802  0.0710330162  0.0396840258
## 470 2021-04-14    75375  0.1339369164 -0.0321396012  0.0717643055  0.0632472484
## 471 2021-04-15    74289  0.1174405921 -0.0144077691  0.0596361870  0.0767955844
## 472 2021-04-16    79991  0.2040538898  0.0767532642  0.0537620026  0.1086101607
## 473 2021-04-17    52373 -0.2154631318 -0.3452595260  0.0230304917  0.0275918376
## 474 2021-04-18    42018 -0.3727554324 -0.1977126055  0.0135649607 -0.0724949799
## 475 2021-04-19    67933  0.0208930438  0.6167448059  0.0085804755 -0.0491479740
## 476 2021-04-20    61273 -0.0802722601 -0.0980363294 -0.0274523403 -0.0569290455
## 477 2021-04-21    62857 -0.0562113230  0.0258510951 -0.0546163745 -0.0567496149
## 478 2021-04-22    67257  0.0106246135  0.0699990455 -0.0698758000 -0.0399060578
## 479 2021-04-23    62399 -0.0631683364 -0.0722293259 -0.1080504038 -0.0457216274
## 480 2021-04-24    53363 -0.2004250460 -0.1448076923 -0.1059021058 -0.0843974821
## 481 2021-04-25    32065 -0.5239413588 -0.3991080129 -0.1275000953 -0.1942834513
## 482 2021-04-26    47691 -0.2865826442  0.4873074284 -0.1714251936 -0.2173582495
## 483 2021-04-27    50856 -0.2385063399  0.0663633314 -0.1940300621 -0.2226452721
## 484 2021-04-28    55125 -0.1736602915  0.0839412470 -0.2108084862 -0.2103990269
## 485 2021-04-29    58199 -0.1269662758  0.0557631608 -0.2304643275 -0.1895408392
## 486 2021-04-30    57922 -0.1311739018 -0.0047594502 -0.2401794083 -0.1749491048
## 
## [[3]]
##           Date       BTC     BTC_std       BTC_ROC     BTC_7MA     BTC_7EMA
## 1   2020-01-01  7200.174 -0.76143491            NA -0.76143491 -0.761434909
## 2   2020-01-02  6985.470 -0.77392182 -2.981515e-02 -0.76767836 -0.764556636
## 3   2020-01-03  7344.884 -0.75301877  5.144430e-02 -0.76279183 -0.761672169
## 4   2020-01-04  7410.657 -0.74919353  8.953648e-03 -0.75939226 -0.758552509
## 5   2020-01-05  7411.317 -0.74915510  8.913594e-05 -0.75734483 -0.756203158
## 6   2020-01-06  7769.219 -0.72834000  4.828475e-02 -0.75251069 -0.749237369
## 7   2020-01-07  8163.692 -0.70539796  5.076731e-02 -0.74578030 -0.738277516
## 8   2020-01-08  8079.863 -0.71027338 -1.026733e-02 -0.73847151 -0.731276482
## 9   2020-01-09  7879.071 -0.72195115 -2.484778e-02 -0.73104713 -0.728945149
## 10  2020-01-10  8166.554 -0.70523152  3.648227e-02 -0.72422038 -0.723016742
## 11  2020-01-11  8037.538 -0.71273496 -1.579623e-02 -0.71901201 -0.720446296
## 12  2020-01-12  8192.494 -0.70372289  1.927671e-02 -0.71252169 -0.716265444
## 13  2020-01-13  8144.194 -0.70653194 -5.894897e-03 -0.70940626 -0.713832068
## 14  2020-01-14  8827.765 -0.66677639  8.392314e-02 -0.70388889 -0.702068148
## 15  2020-01-15  8807.011 -0.66798341 -2.350715e-03 -0.69784746 -0.693546962
## 16  2020-01-16  8723.786 -0.67282364 -9.448741e-03 -0.69082925 -0.688366132
## 17  2020-01-17  8929.038 -0.66088646  2.352516e-02 -0.68449424 -0.681496213
## 18  2020-01-18  8942.809 -0.66008558  1.542044e-03 -0.67697290 -0.676143555
## 19  2020-01-19  8706.245 -0.67384380 -2.644997e-02 -0.67270446 -0.675568617
## 20  2020-01-20  8657.643 -0.67667046 -5.581850e-03 -0.66843853 -0.675844079
## 21  2020-01-21  8745.895 -0.67153785  1.019235e-02 -0.66911874 -0.674767521
## 22  2020-01-22  8680.876 -0.67531924 -7.433330e-03 -0.67016672 -0.674905450
## 23  2020-01-23  8406.516 -0.69127568 -3.160151e-02 -0.67280272 -0.678998007
## 24  2020-01-24  8445.435 -0.68901220  4.629066e-03 -0.67682069 -0.681501556
## 25  2020-01-25  8367.848 -0.69352456 -9.185759e-03 -0.68159768 -0.684507306
## 26  2020-01-26  8596.830 -0.68020724  2.736128e-02 -0.68250675 -0.683432290
## 27  2020-01-27  8909.819 -0.66200419  3.640328e-02 -0.68041157 -0.678075266
## 28  2020-01-28  9358.590 -0.63590429  5.036243e-02 -0.67532106 -0.667532521
## 29  2020-01-29  9316.630 -0.63834462 -4.483098e-03 -0.67003897 -0.660235547
## 30  2020-01-30  9508.993 -0.62715703  2.064509e-02 -0.66087916 -0.651965918
## 31  2020-01-31  9350.529 -0.63637308 -1.666288e-02 -0.65335929 -0.648067708
## 32  2020-02-01  9392.875 -0.63391031  4.528212e-03 -0.64484297 -0.644528358
## 33  2020-02-02  9344.365 -0.63673157 -5.163978e-03 -0.63863216 -0.642579162
## 34  2020-02-03  9293.521 -0.63968858 -5.440531e-03 -0.63544421 -0.641856516
## 35  2020-02-04  9180.963 -0.64623484 -1.211021e-02 -0.63692000 -0.642951097
## 36  2020-02-05  9613.424 -0.62108348  4.709896e-02 -0.63445413 -0.637484192
## 37  2020-02-06  9729.802 -0.61431509  1.210451e-02 -0.63261956 -0.631691917
## 38  2020-02-07  9795.943 -0.61046838  6.797138e-03 -0.62891889 -0.626386033
## 39  2020-02-08  9865.119 -0.60644521  7.060956e-03 -0.62499531 -0.621400827
## 40  2020-02-09 10116.674 -0.59181512  2.549682e-02 -0.61857867 -0.614004399
## 41  2020-02-10  9856.611 -0.60694001 -2.570378e-02 -0.61390030 -0.612238302
## 42  2020-02-11 10208.236 -0.58648996  3.567041e-02 -0.60536532 -0.605801217
## 43  2020-02-12 10326.055 -0.57963780  1.154037e-02 -0.59944451 -0.599260363
## 44  2020-02-13 10214.380 -0.58613266 -1.081381e-02 -0.59541845 -0.595978437
## 45  2020-02-14 10312.116 -0.58044844  9.567567e-03 -0.59112989 -0.592095939
## 46  2020-02-15  9889.425 -0.60503162 -4.098581e-02 -0.59092795 -0.595329860
## 47  2020-02-16  9934.434 -0.60241397  4.550744e-03 -0.59244207 -0.597100887
## 48  2020-02-17  9690.143 -0.61662162 -2.458786e-02 -0.59382515 -0.601981069
## 49  2020-02-18 10141.996 -0.59034241  4.662541e-02 -0.59437550 -0.599071404
## 50  2020-02-19  9633.387 -0.61992246 -5.014390e-02 -0.60013045 -0.604284168
## 51  2020-02-20  9608.476 -0.62137126 -2.585648e-03 -0.60516454 -0.608555942
## 52  2020-02-21  9686.441 -0.61683687  8.113431e-03 -0.61036289 -0.610626174
## 53  2020-02-22  9663.182 -0.61818963 -2.401023e-03 -0.61224260 -0.612517038
## 54  2020-02-23  9924.516 -0.60299079  2.704150e-02 -0.61232500 -0.610135475
## 55  2020-02-24  9650.175 -0.61894609 -2.763996e-02 -0.61265707 -0.612338128
## 56  2020-02-25  9341.705 -0.63688628 -3.196188e-02 -0.61930620 -0.618475167
## 57  2020-02-26  8820.522 -0.66719758 -5.578498e-02 -0.62605979 -0.630655771
## 58  2020-02-27  8784.494 -0.66929294 -4.084139e-03 -0.63290574 -0.640315064
## 59  2020-02-28  8672.455 -0.67580899 -1.275273e-02 -0.64133033 -0.649188545
## 60  2020-02-29  8599.509 -0.68005145 -8.410292e-03 -0.65016773 -0.656904271
## 61  2020-03-01  8562.454 -0.68220650 -4.308430e-03 -0.66148426 -0.663229828
## 62  2020-03-02  8869.670 -0.66433923  3.587522e-02 -0.66796900 -0.663507179
## 63  2020-03-03  8787.786 -0.66910148 -9.230846e-03 -0.67257117 -0.664905755
## 64  2020-03-04  8755.246 -0.67099397 -3.702450e-03 -0.67311351 -0.666427809
## 65  2020-03-05  9078.763 -0.65217867  3.694695e-02 -0.67066861 -0.662865524
## 66  2020-03-06  9122.546 -0.64963230  4.822065e-03 -0.66692909 -0.659557217
## 67  2020-03-07  8909.954 -0.66199636 -2.330144e-02 -0.66434979 -0.660167002
## 68  2020-03-08  8108.116 -0.70863020 -8.998339e-02 -0.66812460 -0.672282801
## 69  2020-03-09  7923.645 -0.71935883 -2.274868e-02 -0.67598454 -0.684051808
## 70  2020-03-10  7909.729 -0.72016811 -1.755920e-03 -0.68327978 -0.693080883
## 71  2020-03-11  7911.430 -0.72006920  2.149845e-04 -0.69029052 -0.699827962
## 72  2020-03-12  4970.788 -0.89109309 -3.716484e-01 -0.72442115 -0.747644245
## 73  2020-03-13  5563.707 -0.85660970  1.192567e-01 -0.75398936 -0.774885609
## 74  2020-03-14  5200.366 -0.87774113 -6.529379e-02 -0.78481004 -0.800599489
## 75  2020-03-15  5392.315 -0.86657764  3.690352e-02 -0.80737396 -0.817094028
## 76  2020-03-16  5014.480 -0.88855203 -7.005616e-02 -0.83154442 -0.834958528
## 77  2020-03-17  5225.629 -0.87627186  4.209954e-02 -0.85384495 -0.845286860
## 78  2020-03-18  5238.438 -0.87552690  2.450735e-03 -0.87605319 -0.852846869
## 79  2020-03-19  6191.193 -0.82011595  1.818428e-01 -0.86591360 -0.844664139
## 80  2020-03-20  6198.778 -0.81967479  1.225002e-03 -0.86063718 -0.838416801
## 81  2020-03-21  6185.066 -0.82047226 -2.211678e-03 -0.85245592 -0.833930665
## 82  2020-03-22  5830.255 -0.84110763 -5.735657e-02 -0.84881734 -0.835724906
## 83  2020-03-23  6416.315 -0.80702314  1.005032e-01 -0.83717036 -0.828549465
## 84  2020-03-24  6734.804 -0.78850025  4.962960e-02 -0.82463156 -0.818537163
## 85  2020-03-25  6681.063 -0.79162574 -7.978368e-03 -0.81264568 -0.811809308
## 86  2020-03-26  6716.440 -0.78956824  5.294389e-03 -0.80828172 -0.806249041
## 87  2020-03-27  6469.798 -0.80391262 -3.671668e-02 -0.80602998 -0.805664935
## 88  2020-03-28  6242.194 -0.81714980 -3.517410e-02 -0.80555535 -0.808536151
## 89  2020-03-29  5922.043 -0.83576935 -5.127998e-02 -0.80479274 -0.815344452
## 90  2020-03-30  6429.842 -0.80623644  8.573276e-02 -0.80468035 -0.813067449
## 91  2020-03-31  6438.645 -0.80572448  1.368831e-03 -0.80714095 -0.811231708
## 92  2020-04-01  6606.776 -0.79594616  2.610887e-02 -0.80775816 -0.807410320
## 93  2020-04-02  6793.625 -0.78507931  2.827701e-02 -0.80711688 -0.801827568
## 94  2020-04-03  6733.387 -0.78858264 -8.865435e-03 -0.80492688 -0.798516335
## 95  2020-04-04  6867.527 -0.78078122  1.991868e-02 -0.79973137 -0.794082557
## 96  2020-04-05  6791.129 -0.78522443 -1.112290e-02 -0.79251067 -0.791868024
## 97  2020-04-06  7271.781 -0.75727034  7.076600e-02 -0.78551551 -0.783218604
## 98  2020-04-07  7176.415 -0.76281675 -1.311282e-02 -0.77938583 -0.778118139
## 99  2020-04-08  7334.099 -0.75364605  2.196948e-02 -0.77334296 -0.772000116
## 100 2020-04-09  7302.089 -0.75550766 -4.363851e-03 -0.76911844 -0.767877003
## 101 2020-04-10  6865.493 -0.78089953 -5.978240e-02 -0.76802085 -0.771132634
## 102 2020-04-11  6859.083 -0.78127233 -9.335415e-04 -0.76809101 -0.773667559
## 103 2020-04-12  6971.092 -0.77475805  1.632761e-02 -0.76659582 -0.773940181
## 104 2020-04-13  6845.038 -0.78208920 -1.807982e-02 -0.77014137 -0.775977435
## 105 2020-04-14  6842.428 -0.78224098 -3.812226e-04 -0.77291626 -0.777543321
## 106 2020-04-15  6642.110 -0.79389121 -2.927157e-02 -0.77866557 -0.781630293
## 107 2020-04-16  7116.804 -0.76628361  7.145664e-02 -0.78020499 -0.777793621
## 108 2020-04-17  7187.235 -0.76218746  9.894965e-03 -0.77753183 -0.773892082
## 109 2020-04-18  7257.665 -0.75809132  9.798014e-03 -0.77422026 -0.769941892
## 110 2020-04-19  7189.425 -0.76206009 -9.401210e-03 -0.77240627 -0.767971441
## 111 2020-04-20  6881.958 -0.77994192 -4.276052e-02 -0.77209951 -0.770964062
## 112 2020-04-21  6880.323 -0.78003703 -2.375801e-04 -0.77178466 -0.773232304
## 113 2020-04-22  7117.208 -0.76626015  3.442423e-02 -0.76783737 -0.771489265
## 114 2020-04-23  7429.725 -0.74808456  4.390390e-02 -0.76523751 -0.765638090
## 115 2020-04-24  7550.901 -0.74103711  1.630746e-02 -0.76221603 -0.759487845
## 116 2020-04-25  7569.936 -0.73993005  2.520578e-03 -0.75962156 -0.754598397
## 117 2020-04-26  7679.867 -0.73353660  1.452015e-02 -0.75554678 -0.749332948
## 118 2020-04-27  7795.601 -0.72680567  1.506782e-02 -0.74795588 -0.743701128
## 119 2020-04-28  7807.059 -0.72613931  1.469553e-03 -0.74025621 -0.739310674
## 120 2020-04-29  8801.038 -0.66833077  1.273017e-01 -0.72626630 -0.721565698
## 121 2020-04-30  8658.554 -0.67661747 -1.618766e-02 -0.71605671 -0.710328642
## 122 2020-05-01  8864.767 -0.66462440  2.381334e-02 -0.70514061 -0.698902582
## 123 2020-05-02  8988.597 -0.65742261  1.396722e-02 -0.69335383 -0.688532588
## 124 2020-05-03  8897.469 -0.66272249 -1.013704e-02 -0.68323753 -0.682080063
## 125 2020-05-04  8912.654 -0.66183932  1.706535e-03 -0.67395662 -0.677019876
## 126 2020-05-05  9003.070 -0.65658084  1.014354e-02 -0.66401970 -0.671910117
## 127 2020-05-06  9268.762 -0.64112857  2.950792e-02 -0.66013367 -0.664214731
## 128 2020-05-07  9951.519 -0.60142033  7.365419e-02 -0.64939122 -0.648516131
## 129 2020-05-08  9842.666 -0.60775105 -1.093719e-02 -0.64126646 -0.638324862
## 130 2020-05-09  9593.896 -0.62221916 -2.527204e-02 -0.63623739 -0.634298437
## 131 2020-05-10  8756.431 -0.67092508 -8.728242e-02 -0.63740919 -0.643455097
## 132 2020-05-11  8601.796 -0.67991843 -1.765755e-02 -0.63999192 -0.652570931
## 133 2020-05-12  8804.478 -0.66813073  2.355997e-02 -0.64164191 -0.656460882
## 134 2020-05-13  9269.987 -0.64105730  5.286593e-02 -0.64163173 -0.652609986
## 135 2020-05-14  9733.722 -0.61408711  5.001996e-02 -0.64344127 -0.642979267
## 136 2020-05-15  9328.197 -0.63767188 -4.165753e-02 -0.64771567 -0.641652421
## 137 2020-05-16  9377.014 -0.63483278  5.232648e-03 -0.64951762 -0.639947511
## 138 2020-05-17  9670.739 -0.61775009  3.132066e-02 -0.64192119 -0.634398155
## 139 2020-05-18  9726.575 -0.61450274  5.773102e-03 -0.63257609 -0.629424302
## 140 2020-05-19  9729.038 -0.61435950  2.531865e-04 -0.62489449 -0.625658103
## 141 2020-05-20  9522.981 -0.62634349 -2.117737e-02 -0.62279251 -0.625829449
## 142 2020-05-21  9081.762 -0.65200425 -4.632723e-02 -0.62820925 -0.632373149
## 143 2020-05-22  9182.577 -0.64614096  1.109964e-02 -0.62941912 -0.635815101
## 144 2020-05-23  9209.287 -0.64458754  2.908448e-03 -0.63081265 -0.638008211
## 145 2020-05-24  8790.368 -0.66895132 -4.548381e-02 -0.63812711 -0.645743987
## 146 2020-05-25  8906.935 -0.66217197  1.325919e-02 -0.64493700 -0.649850982
## 147 2020-05-26  8835.053 -0.66635252 -8.069417e-03 -0.65236458 -0.653976367
## 148 2020-05-27  9181.018 -0.64623166  3.915378e-02 -0.65520574 -0.652040190
## 149 2020-05-28  9525.751 -0.62618242  3.754441e-02 -0.65151691 -0.645575747
## 150 2020-05-29  9439.124 -0.63122053 -9.093022e-03 -0.64938542 -0.641986941
## 151 2020-05-30  9700.414 -0.61602424  2.767867e-02 -0.64530495 -0.635496266
## 152 2020-05-31  9461.059 -0.62994484 -2.467222e-02 -0.63973260 -0.634108410
## 153 2020-06-01 10167.269 -0.58887259  7.463597e-02 -0.62926126 -0.622799456
## 154 2020-06-02  9529.804 -0.62594671 -6.269158e-02 -0.62348900 -0.623586270
## 155 2020-06-03  9656.718 -0.61856556  1.331620e-02 -0.61953670 -0.622331092
## 156 2020-06-04  9800.637 -0.61019542  1.490196e-02 -0.61725284 -0.619297175
## 157 2020-06-05  9665.533 -0.61805286 -1.378377e-02 -0.61537175 -0.618986097
## 158 2020-06-06  9653.680 -0.61874225 -1.226243e-03 -0.61576003 -0.618925135
## 159 2020-06-07  9758.853 -0.61262553  1.089346e-02 -0.61328585 -0.617350235
## 160 2020-06-08  9771.489 -0.61189060  1.294765e-03 -0.61657413 -0.615985326
## 161 2020-06-09  9795.700 -0.61048252  2.477459e-03 -0.61436496 -0.614609625
## 162 2020-06-10  9870.095 -0.60615583  7.593836e-03 -0.61259215 -0.612496178
## 163 2020-06-11  9321.781 -0.63804503 -5.554738e-02 -0.61657066 -0.618883390
## 164 2020-06-12  9480.844 -0.62879416  1.706170e-02 -0.61810513 -0.621361083
## 165 2020-06-13  9475.277 -0.62911790 -5.870595e-04 -0.61958737 -0.623300286
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## 358 2020-12-23 23241.346  0.17149861 -2.277510e-02  0.17505699  0.148200070
## 359 2020-12-24 23735.949  0.20026410  2.128028e-02  0.18279032  0.161216079
## 360 2020-12-25 24664.791  0.25428433  3.913063e-02  0.19547581  0.184483141
## 361 2020-12-26 26437.037  0.35735584  7.185037e-02  0.21680514  0.227701315
## 362 2020-12-27 26272.295  0.34777465 -6.231256e-03  0.24002707  0.257719649
## 363 2020-12-28 27084.809  0.39502938  3.092546e-02  0.27560130  0.292047081
## 364 2020-12-29 27362.438  0.41117591  1.024998e-02  0.30534040  0.321829289
## 365 2020-12-30 28840.953  0.49716445  5.403253e-02  0.35186409  0.365663079
## 366 2020-12-31 29001.721  0.50651448  5.574088e-03  0.39561415  0.400875928
## 367 2021-01-01 29374.152  0.52817461  1.284127e-02  0.43474133  0.432700600
## 368 2021-01-02 32127.268  0.68829219  9.372259e-02  0.48201795  0.496598498
## 369 2021-01-03 32782.023  0.72637193  2.037943e-02  0.53610328  0.554041857
## 370 2021-01-04 31971.914  0.67925703 -2.471125e-02  0.57670723  0.585345651
## 371 2021-01-05 33992.430  0.79676758  6.319460e-02  0.63179175  0.638201133
## 372 2021-01-06 36824.363  0.96146913  8.330826e-02  0.69812099  0.719018131
## 373 2021-01-07 39371.043  1.10958068  6.915559e-02  0.78427331  0.816658768
## 374 2021-01-08 40797.609  1.19254792  3.623298e-02  0.87918378  0.910631055
## 375 2021-01-09 40254.547  1.16096411 -1.331081e-02  0.94670834  0.973214319
## 376 2021-01-10 38356.441  1.05057278 -4.715140e-02  0.99302275  0.992553935
## 377 2021-01-11 35566.656  0.88832253 -7.273126e-02  1.02288925  0.966496084
## 378 2021-01-12 33922.961  0.79272737 -4.621320e-02  1.02231207  0.923053905
## 379 2021-01-13 37316.359  0.99008297  1.000295e-01  1.02639977  0.939811172
## 380 2021-01-14 39187.328  1.09889607  5.013669e-02  1.02487339  0.979582396
## 381 2021-01-15 36825.367  0.96152751 -6.027205e-02  0.99187048  0.975068675
## 382 2021-01-16 36178.141  0.92388566 -1.757509e-02  0.95800213  0.962272922
## 383 2021-01-17 35791.277  0.90138620 -1.069299e-02  0.93668976  0.947051241
## 384 2021-01-18 36630.074  0.95016953  2.343514e-02  0.94552504  0.947830813
## 385 2021-01-19 36069.805  0.91758499 -1.529492e-02  0.96336185  0.940269356
## 386 2021-01-20 35547.750  0.88722297 -1.447305e-02  0.94866756  0.927007760
## 387 2021-01-21 30825.699  0.61259468 -1.328331e-01  0.87919593  0.848404490
## 388 2021-01-22 33005.762  0.73938426  7.071995e-02  0.84746118  0.821149432
## 389 2021-01-23 32067.643  0.68482448 -2.842203e-02  0.81330959  0.787068194
## 390 2021-01-24 32289.379  0.69772037  6.914428e-03  0.78421447  0.764731239
## 391 2021-01-25 32366.393  0.70219939  2.385035e-03  0.74879016  0.749098276
## 392 2021-01-26 32569.850  0.71403218  6.285864e-03  0.71971119  0.740331753
## 393 2021-01-27 30432.547  0.58972945 -6.562011e-02  0.67721212  0.702681178
## 394 2021-01-28 31649.605  0.66051199  3.999069e-02  0.68405745  0.692138881
## 395 2021-01-29 34316.387  0.81560849  8.425688e-02  0.69494662  0.723006284
## 396 2021-01-30 34269.523  0.81288299 -1.365584e-03  0.71324070  0.745475459
## 397 2021-01-31 33114.359  0.74570016 -3.370722e-02  0.72009495  0.745531634
## 398 2021-02-01 33537.176  0.77029061  1.276798e-02  0.72982227  0.751721377
## 399 2021-02-02 35510.289  0.88504429  5.883186e-02  0.75425257  0.785052105
## 400 2021-02-03 37472.090  0.99914005  5.524443e-02  0.81273980  0.838574092
## 401 2021-02-04 36926.066  0.96738405 -1.457108e-02  0.85657866  0.870776581
## 402 2021-02-05 38144.309  1.03823542  3.299049e-02  0.88838251  0.912641290
## 403 2021-02-06 39266.012  1.10347220  2.940606e-02  0.92989525  0.960349018
## 404 2021-02-07 38903.441  1.08238559 -9.233458e-03  0.97799317  0.990858160
## 405 2021-02-08 46196.465  1.50653828  1.874599e-01  1.08317141  1.119778190
## 406 2021-02-09 46481.105  1.52309261  6.161391e-03  1.17432117  1.220606794
## 407 2021-02-10 44918.184  1.43219512 -3.362416e-02  1.23618618  1.273503874
## 408 2021-02-11 47909.332  1.60615639  6.658955e-02  1.32743937  1.356667004
## 409 2021-02-12 47504.852  1.58263234 -8.442448e-03  1.40521036  1.413158337
## 410 2021-02-13 47105.516  1.55940748 -8.406037e-03  1.47034397  1.449720623
## 411 2021-02-14 48717.289  1.65314611  3.421551e-02  1.55188119  1.500576996
## 412 2021-02-15 47945.059  1.60823420 -1.585094e-02  1.56640918  1.527491297
## 413 2021-02-16 49199.871  1.68121245  2.617134e-02  1.58899773  1.565921586
## 414 2021-02-17 52149.008  1.85273038  5.994074e-02  1.64907419  1.637623786
## 415 2021-02-18 51679.797  1.82544169 -8.997332e-03  1.68040067  1.684578261
## 416 2021-02-19 55888.133  2.07019300  8.142939e-02  1.75005219  1.780981945
## 417 2021-02-20 56099.520  2.08248697  3.782251e-03  1.82477783  1.856358202
## 418 2021-02-21 57539.945  2.16626025  2.567580e-02  1.89807985  1.933833713
## 419 2021-02-22 54207.320  1.97243914 -5.791745e-02  1.95010913  1.943485070
## 420 2021-02-23 48824.426  1.65937705 -9.930015e-02  1.94698978  1.872458064
## 421 2021-02-24 49705.332  1.71060940  1.804196e-02  1.92668678  1.831995898
## 422 2021-02-25 47093.852  1.55872912 -5.253819e-02  1.88858499  1.763679202
## 423 2021-02-26 46339.762  1.51487224 -1.601215e-02  1.80925345  1.701477461
## 424 2021-02-27 46188.453  1.50607233 -3.265130e-03  1.72690850  1.652626178
## 425 2021-02-28 45137.770  1.44496595 -2.274726e-02  1.62386646  1.600711120
## 426 2021-03-01 49631.242  1.70630043  9.954797e-02  1.58584664  1.627108448
## 427 2021-03-02 48378.988  1.63347098 -2.523065e-02  1.58214578  1.628699082
## 428 2021-03-03 50538.242  1.75905036  4.463114e-02  1.58906592  1.661286902
## 429 2021-03-04 48561.168  1.64406632 -3.911959e-02  1.60125694  1.656981756
## 430 2021-03-05 48927.305  1.66536035  7.539546e-03  1.62275525  1.659076404
## 431 2021-03-06 48912.383  1.66449251 -3.049743e-04  1.64538670  1.660430431
## 432 2021-03-07 51206.691  1.79792649  4.690554e-02  1.69580964  1.694804447
## 433 2021-03-08 52246.523  1.85840176  2.030617e-02  1.71753840  1.735703776
## 434 2021-03-09 54824.117  2.00831124  4.933428e-02  1.77108701  1.803855642
## 435 2021-03-10 56008.551  2.07719635  2.160385e-02  1.81653643  1.872190819
## 436 2021-03-11 57805.121  2.18168252  3.207614e-02  1.89333875  1.949563745
## 437 2021-03-12 57332.090  2.15417165 -8.183065e-03  1.96316893  2.000715720
## 438 2021-03-13 61243.086  2.38163006  6.821534e-02  2.06561715  2.095944304
## 439 2021-03-14 59302.316  2.26875744 -3.168909e-02  2.13287872  2.139147589
## 440 2021-03-15 55907.199  2.07130187 -5.725004e-02  2.16329302  2.122186160
## 441 2021-03-16 56804.902  2.12351111  1.605673e-02  2.17975014  2.122517398
## 442 2021-03-17 58870.895  2.24366651  3.636932e-02  2.20353160  2.152804676
## 443 2021-03-18 57858.922  2.18481151 -1.718940e-02  2.20397859  2.160806384
## 444 2021-03-19 58346.652  2.21317727  8.429504e-03  2.21240797  2.173899106
## 445 2021-03-20 58313.645  2.21125758 -5.657094e-04  2.18806904  2.183238725
## 446 2021-03-21 57523.422  2.16529927 -1.355102e-02  2.17328930  2.178753860
## 447 2021-03-22 54529.145  1.99115602 -5.205228e-02  2.16183990  2.131854400
## 448 2021-03-23 54738.945  2.00335776  3.847428e-03  2.14467513  2.099730239
## 449 2021-03-24 52774.266  1.88909456 -3.589115e-02  2.09402199  2.047071319
## 450 2021-03-25 51704.160  1.82685863 -2.027665e-02  2.04288587  1.992018145
## 451 2021-03-26 55137.312  2.02652627  6.639864e-02  2.01622144  2.000645177
## 452 2021-03-27 55973.512  2.07515852  1.516548e-02  1.99677872  2.019273513
## 453 2021-03-28 55950.746  2.07383450 -4.067141e-04  1.98371232  2.032913760
## 454 2021-03-29 57750.199  2.17848834  3.216080e-02  2.01047408  2.069307405
## 455 2021-03-30 58917.691  2.24638816  2.021590e-02  2.04519271  2.113577593
## 456 2021-03-31 58918.832  2.24645449  1.935931e-05  2.09624413  2.146796818
## 457 2021-04-01 59095.809  2.25674722  3.003684e-03  2.15765679  2.174284418
## 458 2021-04-02 59384.312  2.27352623  4.881886e-03  2.19294249  2.199094871
## 459 2021-04-03 57603.891  2.16997922 -2.998085e-02  2.20648831  2.191815959
## 460 2021-04-04 58758.555  2.23713297  2.004455e-02  2.22981666  2.203145213
## 461 2021-04-05 59057.879  2.25454128  5.094052e-03  2.24068137  2.215994229
## 462 2021-04-06 58192.359  2.20420380 -1.465520e-02  2.23465503  2.213046621
## 463 2021-04-07 56048.938  2.07954519 -3.683276e-02  2.21081084  2.179671262
## 464 2021-04-08 58323.953  2.21185712  4.058908e-02  2.20439797  2.187717725
## 465 2021-04-09 58245.004  2.20726553 -1.353610e-03  2.19493216  2.192604677
## 466 2021-04-10 59793.234  2.29730859  2.658089e-02  2.21312207  2.218780655
## 467 2021-04-11 60204.965  2.32125429  6.885789e-03  2.22513940  2.244399065
## 468 2021-04-12 59893.453  2.30313718 -5.174101e-03  2.23208167  2.259083594
## 469 2021-04-13 63503.457  2.51309028  6.027276e-02  2.27620831  2.322585265
## 470 2021-04-14 63109.695  2.49018961 -6.200537e-03  2.33487180  2.364486352
## 471 2021-04-15 63314.012  2.50207239  3.237429e-03  2.37633113  2.398882861
## 472 2021-04-16 61572.789  2.40080516 -2.750095e-02  2.40397964  2.399363436
## 473 2021-04-17 60683.820  2.34910390 -1.443745e-02  2.41137897  2.386798552
## 474 2021-04-18 56216.184  2.08927200 -7.362033e-02  2.37823865  2.312416914
## 475 2021-04-19 55724.266  2.06066270 -8.750313e-03  2.34359943  2.249478359
## 476 2021-04-20 56473.031  2.10420992  1.343673e-02  2.28518795  2.213161250
## 477 2021-04-21 53906.090  1.95491997 -4.545348e-02  2.20872086  2.148600931
## 478 2021-04-22 51762.273  1.83023842 -3.976873e-02  2.11274458  2.069010303
## 479 2021-04-23 51093.652  1.79135229 -1.291690e-02  2.02567989  1.999595800
## 480 2021-04-24 50050.867  1.73070527 -2.040889e-02  1.93733722  1.932373168
## 481 2021-04-25 49004.254  1.66983561 -2.091057e-02  1.87741774  1.866738779
## 482 2021-04-26 54021.754  1.96164684  1.023870e-01  1.86327262  1.890465795
## 483 2021-04-27 55033.117  2.02046641  1.872106e-02  1.85130926  1.922965948
## 484 2021-04-28 54824.703  2.00834532 -3.786997e-03  1.85894145  1.944310791
## 485 2021-04-29 53555.109  1.93450741 -2.315691e-02  1.87383702  1.941859945
## 486 2021-04-30 57750.176  2.17848698  7.833031e-02  1.92914198  2.001016703
## 
## [[4]]
##           Date         Oil     Oil_std       Oil_ROC      Oil_7MA     Oil_7EMA
## 1   2020-01-01  61.1200005  1.27659394            NA  1.276593943  1.276593943
## 2   2020-01-02  61.1800000  1.28111301  9.658644e-04  1.278853476  1.277723709
## 3   2020-01-03  63.0499990  1.42195831  3.007396e-02  1.326555087  1.313782359
## 4   2020-01-04  63.1233327  1.42748168  1.144944e-03  1.351786736  1.342207190
## 5   2020-01-05  63.1966663  1.43300506  1.143635e-03  1.368030400  1.364906657
## 6   2020-01-06  63.2700000  1.43852843  1.142328e-03  1.379780071  1.383312100
## 7   2020-01-07  62.7000010  1.39559703 -8.868819e-03  1.382039636  1.386383331
## 8   2020-01-08  59.6100010  1.16286322 -4.850863e-02  1.365792391  1.330503304
## 9   2020-01-09  59.5600010  1.15909730 -8.249464e-04  1.348361575  1.287651804
## 10  2020-01-10  59.0400010  1.11993174 -8.586526e-03  1.305214923  1.245721789
## 11  2020-01-11  58.7200013  1.09582989 -5.329775e-03  1.257836095  1.208248813
## 12  2020-01-12  58.4000017  1.07172803 -5.358333e-03  1.206225091  1.174118617
## 13  2020-01-13  58.0800020  1.04762617 -5.387200e-03  1.150381911  1.142495505
## 14  2020-01-14  58.2300000  1.05892378  2.538896e-03  1.102285733  1.121602573
## 15  2020-01-15  57.8100010  1.02729013 -7.090984e-03  1.082918149  1.098024463
## 16  2020-01-16  58.5200000  1.08076611  1.207276e-02  1.071727978  1.093709874
## 17  2020-01-17  58.5400010  1.08227255  3.360383e-04  1.066348094  1.090850544
## 18  2020-01-18  58.4900008  1.07850661 -8.397758e-04  1.063873340  1.087764561
## 19  2020-01-19  58.4400005  1.07474068 -8.404816e-04  1.064303719  1.084508590
## 20  2020-01-20  58.3900002  1.07097474 -8.411886e-04  1.067639228  1.081125127
## 21  2020-01-21  58.3400000  1.06720880 -8.418968e-04  1.068822803  1.077646045
## 22  2020-01-22  56.7400020  0.94669954 -2.696323e-02  1.057309861  1.044909418
## 23  2020-01-23  55.5900000  0.86008325 -1.991690e-02  1.025783737  0.998702875
## 24  2020-01-24  54.1899990  0.75463743 -2.473937e-02  0.978978721  0.937686515
## 25  2020-01-25  53.8399990  0.72827600 -6.341729e-03  0.928945776  0.885333886
## 26  2020-01-26  53.4899990  0.70191457 -6.382203e-03  0.875684903  0.839479056
## 27  2020-01-27  53.1399990  0.67555313 -6.423197e-03  0.819196102  0.798497575
## 28  2020-01-28  53.4800000  0.70116146  6.280033e-03  0.766903624  0.774163545
## 29  2020-01-29  53.3300020  0.68986385 -2.753267e-03  0.730212812  0.753088622
## 30  2020-01-30  52.1399990  0.60023475 -2.190324e-02  0.693091598  0.714875153
## 31  2020-01-31  51.5600010  0.55655024 -1.091453e-02  0.664793427  0.675293924
## 32  2020-02-01  51.0766677  0.52014635 -9.195840e-03  0.635060620  0.636507031
## 33  2020-02-02  50.5933343  0.48374247 -9.281188e-03  0.603893177  0.598315890
## 34  2020-02-03  50.1100010  0.44733858 -9.368135e-03  0.571291099  0.560571562
## 35  2020-02-04  49.6100010  0.40967939 -9.782821e-03  0.529650803  0.522848519
## 36  2020-02-05  50.7500000  0.49554227  2.252517e-02  0.501890578  0.516021957
## 37  2020-02-06  50.9500010  0.51060602  3.864754e-03  0.489086474  0.514667973
## 38  2020-02-07  50.3200000  0.46315537 -1.212706e-02  0.475744350  0.501789822
## 39  2020-02-08  50.0700000  0.44432577 -4.871395e-03  0.464912838  0.487423809
## 40  2020-02-09  49.8200000  0.42549617 -4.895242e-03  0.456591939  0.471941900
## 41  2020-02-10  49.5700000  0.40666658 -4.919323e-03  0.450781653  0.455623070
## 42  2020-02-11  49.9399990  0.43453431  7.316571e-03  0.454332355  0.450350879
## 43  2020-02-12  51.1699980  0.52717584  2.414604e-02  0.458851437  0.469557119
## 44  2020-02-13  51.4199980  0.54600544  4.792026e-03  0.463908496  0.488669199
## 45  2020-02-14  52.0499990  0.59345609  1.201833e-02  0.482522886  0.514865922
## 46  2020-02-15  52.0499990  0.59345609  0.000000e+00  0.503827218  0.534513465
## 47  2020-02-16  52.0499990  0.59345609  0.000000e+00  0.527821492  0.549249122
## 48  2020-02-17  52.0499990  0.59345609  0.000000e+00  0.554505708  0.560300865
## 49  2020-02-18  52.0499990  0.59345609  0.000000e+00  0.577208821  0.568589672
## 50  2020-02-19  53.2900010  0.68685104  2.337421e-02  0.600019564  0.598155014
## 51  2020-02-20  53.7799990  0.72375690  9.025566e-03  0.625412629  0.629555485
## 52  2020-02-21  53.3800010  0.69362969 -7.301899e-03  0.639723144  0.645574037
## 53  2020-02-22  52.7300007  0.64467272 -1.195293e-02  0.647039804  0.645348708
## 54  2020-02-23  52.0800003  0.59571575 -1.209753e-02  0.647362612  0.632940467
## 55  2020-02-24  51.4300000  0.54675877 -1.224567e-02  0.640691566  0.611395043
## 56  2020-02-25  49.9000020  0.43152180 -2.918173e-02  0.617558095  0.566426731
## 57  2020-02-26  48.7300000  0.34339914 -2.298629e-02  0.568493537  0.510669833
## 58  2020-02-27  47.0900000  0.21987699 -3.297808e-02  0.496510693  0.437971622
## 59  2020-02-28  44.7599980  0.04438500 -4.845086e-02  0.403761452  0.339574967
## 60  2020-02-29  45.4233320  0.09434625  1.449594e-02  0.325143384  0.278267788
## 61  2020-03-01  46.0866660  0.14430749  1.428881e-02  0.260656491  0.244777714
## 62  2020-03-02  46.7500000  0.19426874  1.408751e-02  0.210300772  0.232150470
## 63  2020-03-03  47.1800000  0.22665564  9.005236e-03  0.181034179  0.230776763
## 64  2020-03-04  46.7799990  0.19652821 -8.302221e-03  0.160052618  0.222214626
## 65  2020-03-05  45.9000020  0.13024826 -1.841769e-02  0.147248515  0.199223035
## 66  2020-03-06  41.2799990 -0.21772289 -9.850752e-02  0.109804529  0.094986553
## 67  2020-03-07  37.8966657 -0.47255009 -8.002208e-02  0.028819338 -0.046897608
## 68  2020-03-08  34.5133323 -0.72737729 -8.698261e-02 -0.095707059 -0.217017528
## 69  2020-03-09  31.1299990 -0.98220448 -9.526939e-02 -0.263774662 -0.408314267
## 70  2020-03-10  34.3600010 -0.73892596  1.005292e-01 -0.401714891 -0.490967189
## 71  2020-03-11  32.9800000 -0.84286540 -3.902718e-02 -0.550199693 -0.578941742
## 72  2020-03-12  31.5000000 -0.95433661 -4.355503e-02 -0.705140388 -0.672790458
## 73  2020-03-13  31.7300000 -0.93701338  7.076923e-03 -0.807896172 -0.738846188
## 74  2020-03-14  30.7200003 -1.01308492 -3.085853e-02 -0.885115433 -0.807405871
## 75  2020-03-15  29.7100007 -1.08915646 -3.184110e-02 -0.936798173 -0.877843519
## 76  2020-03-16  28.7000010 -1.16522800 -3.288830e-02 -0.962944390 -0.949689641
## 77  2020-03-17  26.9500010 -1.29703518 -5.892256e-02 -1.042674279 -1.036526024
## 78  2020-03-18  20.3700010 -1.79263014 -2.354204e-01 -1.178354955 -1.225552053
## 79  2020-03-19  25.2199990 -1.42733613  2.269536e-01 -1.245926316 -1.275998072
## 80  2020-03-20  22.4300000 -1.63747434 -1.064073e-01 -1.345992168 -1.366367140
## 81  2020-03-21  22.7400003 -1.61412562  1.323091e-02 -1.431855125 -1.428306760
## 82  2020-03-22  23.0500007 -1.59077690  1.305814e-02 -1.503515186 -1.468924294
## 83  2020-03-23  23.3600010 -1.56742817  1.288983e-02 -1.560972353 -1.493550263
## 84  2020-03-24  24.0100000 -1.51847130  2.668304e-02 -1.592606085 -1.499780522
## 85  2020-03-25  24.4900000 -1.48231847  1.919232e-02 -1.548275847 -1.495415010
## 86  2020-03-26  22.6000000 -1.62467022 -7.414672e-02 -1.576466431 -1.527728812
## 87  2020-03-27  21.5100000 -1.70676726 -4.618644e-02 -1.586365419 -1.572488423
## 88  2020-03-28  21.0366667 -1.74241796 -2.102769e-02 -1.604692896 -1.614970806
## 89  2020-03-29  20.5633333 -1.77806866 -2.147935e-02 -1.631448862 -1.655745269
## 90  2020-03-30  20.0900000 -1.81371936 -2.195084e-02 -1.666633317 -1.695238792
## 91  2020-03-31  20.4800000 -1.78434519  1.849218e-02 -1.704615302 -1.717515392
## 92  2020-04-01  20.3099990 -1.79714939 -7.914385e-03 -1.749591147 -1.737423892
## 93  2020-04-02  25.3200000 -1.41980422  2.351009e-01 -1.720324576 -1.658018973
## 94  2020-04-03  28.3400000 -1.19234270  1.147416e-01 -1.646835353 -1.541599904
## 95  2020-04-04  27.5866667 -1.24908255 -2.567598e-02 -1.576358866 -1.468470565
## 96  2020-04-05  26.8333333 -1.30582240 -2.635261e-02 -1.508895114 -1.427808522
## 97  2020-04-06  26.0800000 -1.36256224 -2.706587e-02 -1.444444097 -1.411496953
## 98  2020-04-07  23.6299990 -1.54709236 -9.047271e-02 -1.410550836 -1.445395804
## 99  2020-04-08  25.0900000 -1.43712744  5.927735e-02 -1.359119129 -1.443328714
## 100 2020-04-09  22.7600000 -1.61261928 -8.930625e-02 -1.386664138 -1.485651355
## 101 2020-04-10  22.6725000 -1.61920964 -3.682660e-03 -1.447645129 -1.519040925
## 102 2020-04-11  22.5850000 -1.62579999 -3.696272e-03 -1.501461907 -1.545730692
## 103 2020-04-12  22.4975000 -1.63239035 -3.709985e-03 -1.548114472 -1.567395607
## 104 2020-04-13  22.4100000 -1.63898071 -3.723800e-03 -1.587602825 -1.585291883
## 105 2020-04-14  20.1100010 -1.81221292 -9.824857e-02 -1.625477190 -1.642022142
## 106 2020-04-15  19.8700010 -1.83028933 -1.136902e-02 -1.681643174 -1.689088939
## 107 2020-04-16  19.8700010 -1.83028933  0.000000e+00 -1.712738895 -1.724389036
## 108 2020-04-17  18.2700000 -1.95079882 -7.666511e-02 -1.760108779 -1.780991482
## 109 2020-04-18  -0.3633337 -3.35423138 -9.669608e-01 -2.007027549 -2.174301457
## 110 2020-04-19 -18.9966673 -4.75766395 -2.926703e+01 -2.453495206 -2.820142081
## 111 2020-04-20 -37.6300010 -6.16109652  1.035377e+00 -3.099511749 -3.655380690
## 112 2020-04-21  10.0100000 -2.57292866 -1.300573e+00 -3.208185427 -3.384767683
## 113 2020-04-22  13.7800000 -2.28897836  3.424160e-01 -3.273712432 -3.110820352
## 114 2020-04-23  16.5000000 -2.08411236  1.840325e-01 -3.309972864 -2.854143353
## 115 2020-04-24  16.9400010 -2.05097219  2.514291e-02 -3.324283346 -2.653350563
## 116 2020-04-25  15.5533340 -2.15541371 -7.729470e-02 -3.153023678 -2.528866349
## 117 2020-04-26  14.1666670 -2.25985523 -8.376965e-02 -2.796193860 -2.461613568
## 118 2020-04-27  12.7800000 -2.36429674 -9.142859e-02 -2.253793892 -2.437284362
## 119 2020-04-28  12.3400000 -2.39743683 -3.193033e-02 -2.228723630 -2.427322479
## 120 2020-04-29  15.0600000 -2.19257083  2.038981e-01 -2.214951126 -2.368634566
## 121 2020-04-30  18.8400000 -1.90786734  2.353674e-01 -2.189773266 -2.253442759
## 122 2020-05-01  19.7800010 -1.83706798  4.737908e-02 -2.159215522 -2.149349065
## 123 2020-05-02  19.9833337 -1.82175330  9.785017e-03 -2.111549749 -2.067450123
## 124 2020-05-03  20.1866663 -1.80643861  9.690198e-03 -2.046775947 -2.002197244
## 125 2020-05-04  20.3899990 -1.79112392  9.597200e-03 -1.964894115 -1.949428913
## 126 2020-05-05  24.5599990 -1.47704626  1.949509e-01 -1.833409748 -1.831333251
## 127 2020-05-06  23.9900000 -1.51997767 -2.230043e-02 -1.737325011 -1.753494354
## 128 2020-05-07  23.5499990 -1.55311783 -1.760708e-02 -1.686646509 -1.703400223
## 129 2020-05-08  24.7400000 -1.46348888  4.847255e-02 -1.633278066 -1.643422387
## 130 2020-05-09  24.5399997 -1.47855258 -7.770021e-03 -1.584249392 -1.602204935
## 131 2020-05-10  24.3399993 -1.49361628 -7.830867e-03 -1.539560488 -1.575057772
## 132 2020-05-11  24.1399990 -1.50867998 -7.892673e-03 -1.499211354 -1.558463324
## 133 2020-05-12  25.7800010 -1.38515768  6.523477e-02 -1.486084414 -1.515136914
## 134 2020-05-13  25.2900010 -1.42206369 -1.829724e-02 -1.472096704 -1.491868609
## 135 2020-05-14  27.5599990 -1.25109111  8.634454e-02 -1.428950030 -1.431674235
## 136 2020-05-15  29.4300000 -1.11024566  6.547623e-02 -1.378486713 -1.351317091
## 137 2020-05-16  30.2266667 -1.05024202  2.618030e-02 -1.317299490 -1.276048322
## 138 2020-05-17  31.0233333 -0.99023837  2.551238e-02 -1.245388360 -1.204595834
## 139 2020-05-18  31.8200000 -0.93023472  2.487769e-02 -1.162753323 -1.136005557
## 140 2020-05-19  32.5000000 -0.87901822  2.071907e-02 -1.090447685 -1.071758723
## 141 2020-05-20  33.4900020 -0.80445287  2.955230e-02 -1.002217569 -1.004932261
## 142 2020-05-21  33.9199980 -0.77206627  1.246727e-02 -0.933785448 -0.946715763
## 143 2020-05-22  33.2500000 -0.82252944 -1.918666e-02 -0.892683130 -0.915669182
## 144 2020-05-23  33.5249995 -0.80181692  8.029182e-03 -0.857193831 -0.887206116
## 145 2020-05-24  33.7999990 -0.78110440  7.965228e-03 -0.827317550 -0.860680687
## 146 2020-05-25  34.0749985 -0.76039188  7.902285e-03 -0.803054287 -0.835608486
## 147 2020-05-26  34.3499980 -0.73967937  7.840328e-03 -0.783148735 -0.811626206
## 148 2020-05-27  32.8100010 -0.85566945 -4.356427e-02 -0.790465389 -0.822637017
## 149 2020-05-28  33.7099990 -0.78788306  2.661928e-02 -0.792724930 -0.813948526
## 150 2020-05-29  35.4900020 -0.65381611  5.128214e-02 -0.768623026 -0.773915422
## 151 2020-05-30  35.4733343 -0.65507149 -4.567735e-04 -0.747659393 -0.744204438
## 152 2020-05-31  35.4566667 -0.65632687 -4.569823e-04 -0.729834031 -0.722235046
## 153 2020-06-01  35.4399990 -0.65758225 -4.571912e-04 -0.715146941 -0.706071848
## 154 2020-06-02  36.8100010 -0.55439592  3.759610e-02 -0.688677877 -0.668152865
## 155 2020-06-03  37.2900010 -0.51824309  1.269505e-02 -0.640474112 -0.630675422
## 156 2020-06-04  37.4100000 -0.50920496  3.133951e-03 -0.600662956 -0.600307807
## 157 2020-06-05  39.5499990 -0.34802370  5.571463e-02 -0.556978326 -0.537236780
## 158 2020-06-06  39.0966657 -0.38216803 -1.117961e-02 -0.517992117 -0.498469592
## 159 2020-06-07  38.6433323 -0.41631236 -1.130601e-02 -0.483704331 -0.477930285
## 160 2020-06-08  38.1899990 -0.45045670 -1.143530e-02 -0.454114966 -0.471061889
## 161 2020-06-09  38.9399990 -0.39396791  1.913754e-02 -0.431196679 -0.451788394
## 162 2020-06-10  39.5999980 -0.34425785  1.652476e-02 -0.406341645 -0.424905759
## 163 2020-06-11  36.3400000 -0.58979563 -8.029552e-02 -0.417854598 -0.466128227
## 164 2020-06-12  36.2599980 -0.59582125 -2.142528e-03 -0.453254249 -0.498551484
## 165 2020-06-13  36.5466650 -0.57422996  7.693693e-03 -0.480691667 -0.517471102
## 166 2020-06-14  36.8333320 -0.55263866  7.634952e-03 -0.500166853 -0.526262993
## 167 2020-06-15  37.1199990 -0.53104737  7.577102e-03 -0.511679806 -0.527459087
## 168 2020-06-16  38.3800010 -0.43614605  3.305357e-02 -0.517705255 -0.504630829
## 169 2020-06-17  37.9599990 -0.46777993 -1.066536e-02 -0.535351265 -0.495418103
## 170 2020-06-18  38.8400000 -0.40149967  2.258730e-02 -0.508451843 -0.471938496
## 171 2020-06-19  39.7500000 -0.33295995  2.284137e-02 -0.470900227 -0.437193858
## 172 2020-06-20  39.9866663 -0.31513462  5.807763e-03 -0.433886607 -0.406679048
## 173 2020-06-21  40.2233327 -0.29730929  5.774227e-03 -0.397410983 -0.379336610
## 174 2020-06-22  40.4599990 -0.27948397  5.741077e-03 -0.361473355 -0.354373449
## 175 2020-06-23  40.3699990 -0.28626262 -2.170767e-03 -0.340061436 -0.337345743
## 176 2020-06-24  38.0099980 -0.46401408 -5.704619e-02 -0.339523458 -0.369012828
## 177 2020-06-25  38.7200010 -0.41053780  1.820054e-02 -0.340814620 -0.379394072
## 178 2020-06-26  38.4900020 -0.42786096 -5.790508e-03 -0.354371907 -0.391510793
## 179 2020-06-27  38.8933350 -0.39748257  1.021355e-02 -0.366135900 -0.393003737
## 180 2020-06-28  39.2966680 -0.36710418  1.011029e-02 -0.376106597 -0.386528847
## 181 2020-06-29  39.7000010 -0.33672579  1.000909e-02 -0.384284000 -0.374078083
## 182 2020-06-30  39.2700000 -0.36911277 -1.056513e-02 -0.396119736 -0.372836754
## 183 2020-07-01  39.8200000 -0.32768766  1.365781e-02 -0.376644532 -0.361549480
## 184 2020-07-02  40.6500020 -0.26517325  2.033322e-02 -0.355878167 -0.337455423
## 185 2020-07-03  40.6450017 -0.26554986 -1.200540e-04 -0.332690868 -0.319479032
## 186 2020-07-04  40.6400015 -0.26592647 -1.200684e-04 -0.313897139 -0.306090892
## 187 2020-07-05  40.6350013 -0.26630308 -1.200828e-04 -0.299496983 -0.296143939
## 188 2020-07-06  40.6300010 -0.26667969 -1.200973e-04 -0.289490398 -0.288777878
## 189 2020-07-07  40.6199990 -0.26743303 -2.402594e-04 -0.274964720 -0.283441665
## 190 2020-07-08  40.9000020 -0.24634365  6.727607e-03 -0.263344148 -0.274167162
## 191 2020-07-09  39.6199990 -0.34275141 -3.054900e-02 -0.274426742 -0.291313224
## 192 2020-07-10  40.5499990 -0.27270531  2.289513e-02 -0.275448950 -0.286661247
## 193 2020-07-11  40.3999987 -0.28400310 -3.610116e-03 -0.278031325 -0.285996709
## 194 2020-07-12  40.2499983 -0.29530088 -3.623197e-03 -0.282173868 -0.288322752
## 195 2020-07-13  40.0999980 -0.30659866 -3.636372e-03 -0.287876577 -0.292891729
## 196 2020-07-14  40.2900010 -0.29228794  4.622944e-03 -0.291427280 -0.292740783
## 197 2020-07-15  41.2000010 -0.22374821  2.203923e-02 -0.288199360 -0.275492640
## 198 2020-07-16  40.7500000 -0.25764156 -1.066353e-02 -0.276040810 -0.271029871
## 199 2020-07-17  40.5900000 -0.26969250 -3.832335e-03 -0.275610408 -0.270695529
## 200 2020-07-18  40.6633337 -0.26416913  1.763252e-03 -0.272776985 -0.269063929
## 201 2020-07-19  40.7366673 -0.25864576  1.760149e-03 -0.267540539 -0.266459386
## 202 2020-07-20  40.8100010 -0.25312238  1.757056e-03 -0.259901070 -0.263125135
## 203 2020-07-21  41.9599990 -0.16650639  2.750533e-02 -0.241932278 -0.238970450
## 204 2020-07-22  41.9000020 -0.17102527 -1.396578e-03 -0.234400428 -0.221984155
## 205 2020-07-23  41.0700000 -0.23353968 -1.934737e-02 -0.230957302 -0.224873036
## 206 2020-07-24  41.2900010 -0.21696956  5.229403e-03 -0.223425453 -0.222897167
## 207 2020-07-25  41.3933333 -0.20918674  2.443422e-03 -0.215570825 -0.219469559
## 208 2020-07-26  41.4966657 -0.20140391  2.437467e-03 -0.207393419 -0.214953147
## 209 2020-07-27  41.5999980 -0.19362109  2.431540e-03 -0.198893234 -0.209620132
## 210 2020-07-28  41.0400010 -0.23579916 -1.314547e-02 -0.208792200 -0.216164888
## 211 2020-07-29  41.2700000 -0.21847600  5.470956e-03 -0.215570876 -0.216742667
## 212 2020-07-30  39.9199980 -0.32015597 -3.193759e-02 -0.227944632 -0.242595993
## 213 2020-07-31  40.2700000 -0.29379439  8.553324e-03 -0.238919607 -0.255395591
## 214 2020-08-01  40.5166660 -0.27521590  5.976884e-03 -0.248352345 -0.260350669
## 215 2020-08-02  40.7633320 -0.25663742  5.941373e-03 -0.256242846 -0.259422356
## 216 2020-08-03  41.0099980 -0.23805893  5.906282e-03 -0.262591109 -0.254081500
## 217 2020-08-04  41.7000010 -0.18608902  1.642473e-02 -0.255489662 -0.237083381
## 218 2020-08-05  42.1899990 -0.14918317  1.147536e-02 -0.245590685 -0.215108327
## 219 2020-08-06  41.9500010 -0.16725943 -5.556796e-03 -0.223748322 -0.203146102
## 220 2020-08-07  41.2200010 -0.22224185 -1.699651e-02 -0.213526530 -0.207920038
## 221 2020-08-08  41.4600003 -0.20416548  5.684494e-03 -0.203376471 -0.206981400
## 222 2020-08-09  41.6999997 -0.18608912  5.652363e-03 -0.193298143 -0.201758330
## 223 2020-08-10  41.9399990 -0.16801276  5.620593e-03 -0.183291547 -0.193321938
## 224 2020-08-11  41.6100010 -0.19286768 -7.685096e-03 -0.184259926 -0.193208373
## 225 2020-08-12  42.6699980 -0.11303042  2.487672e-02 -0.179095248 -0.173163884
## 226 2020-08-13  42.2400020 -0.14541702 -9.846485e-03 -0.175974904 -0.166227168
## 227 2020-08-14  42.0099980 -0.16274055 -5.319241e-03 -0.167474719 -0.165355513
## 228 2020-08-15  42.3033317 -0.14064713  6.820127e-03 -0.158400668 -0.159178418
## 229 2020-08-16  42.5966653 -0.11855371  6.773928e-03 -0.148752753 -0.149022242
## 230 2020-08-17  42.8899990 -0.09646030  6.728351e-03 -0.138530972 -0.135881756
## 231 2020-08-18  42.8899990 -0.09646030  0.000000e+00 -0.124758490 -0.126026391
## 232 2020-08-19  42.9300000 -0.09344749  9.113921e-04 -0.121960928 -0.117881665
## 233 2020-08-20  42.5800020 -0.11980877 -7.967175e-03 -0.118302607 -0.118363441
## 234 2020-08-21  42.3400000 -0.13788533 -5.507159e-03 -0.114751861 -0.123243914
## 235 2020-08-22  42.4333330 -0.13085564  2.153507e-03 -0.113353077 -0.125146846
## 236 2020-08-23  42.5266660 -0.12382595  2.148880e-03 -0.114106254 -0.124816622
## 237 2020-08-24  42.6199990 -0.11679626  2.144272e-03 -0.117011391 -0.122811532
## 238 2020-08-25  43.3499980 -0.06181392  1.673542e-02 -0.112061908 -0.107562128
## 239 2020-08-26  43.3899990 -0.05880111  9.019392e-04 -0.107112425 -0.095371872
## 240 2020-08-27  43.0400010 -0.08516239 -7.884614e-03 -0.102162942 -0.092819501
## 241 2020-08-28  42.9700010 -0.09043468 -1.589464e-03 -0.095384277 -0.092223295
## 242 2020-08-29  42.8500010 -0.09947288 -2.729133e-03 -0.090901026 -0.094035692
## 243 2020-08-30  42.7300010 -0.10851109 -2.736602e-03 -0.088713188 -0.097654541
## 244 2020-08-31  42.6100010 -0.11754929 -2.744112e-03 -0.088820764 -0.102628229
## 245 2020-09-01  42.7599980 -0.10625176  3.439509e-03 -0.095169028 -0.103534112
## 246 2020-09-02  41.5099980 -0.20039974 -2.856490e-02 -0.115397404 -0.127750519
## 247 2020-09-03  41.3699990 -0.21094424 -3.293319e-03 -0.133366240 -0.148548949
## 248 2020-09-04  39.7700000 -0.33145358 -3.776255e-02 -0.167797512 -0.194275106
## 249 2020-09-05  39.0174995 -0.38813070 -1.845721e-02 -0.209034343 -0.242739004
## 250 2020-09-06  38.2649990 -0.44480782 -1.880429e-02 -0.257076733 -0.293256208
## 251 2020-09-07  37.5124985 -0.50148494 -1.916466e-02 -0.311924683 -0.345313391
## 252 2020-09-08  36.7599980 -0.55816206 -1.953912e-02 -0.376483297 -0.398525559
## 253 2020-09-09  38.0499990 -0.46100127  3.416316e-02 -0.413712087 -0.414144487
## 254 2020-09-10  37.2999990 -0.51749006 -1.920615e-02 -0.457504347 -0.439980880
## 255 2020-09-11  37.3300020 -0.51523028  7.833682e-04 -0.483758162 -0.458793231
## 256 2020-09-12  37.3066673 -0.51698781 -6.087833e-04 -0.502166321 -0.473341876
## 257 2020-09-13  37.2833327 -0.51874534 -6.091542e-04 -0.512728824 -0.484692742
## 258 2020-09-14  37.2599980 -0.52050287 -6.095255e-04 -0.515445671 -0.493645274
## 259 2020-09-15  38.2799990 -0.44367804  2.665972e-02 -0.499090811 -0.481153467
## 260 2020-09-16  40.1600000 -0.30207941  4.786153e-02 -0.476387688 -0.436384952
## 261 2020-09-17  40.9700010 -0.24107144  1.967932e-02 -0.436899314 -0.387556574
## 262 2020-09-18  41.1100010 -0.23052687  3.335716e-03 -0.396227398 -0.348299148
## 263 2020-09-19  40.5100010 -0.27571790 -1.424840e-02 -0.361760267 -0.330153836
## 264 2020-09-20  39.9100010 -0.32090893 -1.445435e-02 -0.333497923 -0.327842609
## 265 2020-09-21  39.3100010 -0.36609996 -1.466634e-02 -0.311440364 -0.337406946
## 266 2020-09-22  39.5999980 -0.34425785  7.194170e-03 -0.297237480 -0.339119673
## 267 2020-09-23  39.9300000 -0.31940264  8.128128e-03 -0.299712227 -0.334190414
## 268 2020-09-24  40.3100010 -0.29078158  9.284168e-03 -0.306813674 -0.323338204
## 269 2020-09-25  40.2500000 -0.29530075 -1.452457e-03 -0.316067086 -0.316328841
## 270 2020-09-26  40.3666660 -0.28651366  2.828267e-03 -0.317609338 -0.308875046
## 271 2020-09-27  40.4833320 -0.27772656  2.820290e-03 -0.311440429 -0.301087926
## 272 2020-09-28  40.5999980 -0.26893947  2.812358e-03 -0.297560359 -0.293050812
## 273 2020-09-29  39.2900010 -0.36760633 -3.149031e-02 -0.300895855 -0.311689690
## 274 2020-09-30  40.2200010 -0.29756023  2.308265e-02 -0.297775511 -0.308157325
## 275 2020-10-01  38.7200010 -0.41053780 -3.639010e-02 -0.314883544 -0.333752445
## 276 2020-10-02  37.0499990 -0.53631966 -4.204436e-02 -0.349314816 -0.384394248
## 277 2020-10-03  37.7733330 -0.48183931  1.901009e-02 -0.377218480 -0.408755513
## 278 2020-10-04  38.4966670 -0.42735896  1.865545e-02 -0.398594536 -0.413406375
## 279 2020-10-05  39.2200010 -0.37287861  1.831380e-02 -0.413442985 -0.403274434
## 280 2020-10-06  40.6699980 -0.26366718  3.605164e-02 -0.398594536 -0.368372621
## 281 2020-10-07  39.9500010 -0.31789619 -1.727855e-02 -0.401499674 -0.355753514
## 282 2020-10-08  41.1899990 -0.22450155  3.028078e-02 -0.374923066 -0.322940523
## 283 2020-10-09  40.5999980 -0.26893947 -1.398438e-02 -0.336725897 -0.309440260
## 284 2020-10-10  40.2099987 -0.29831359 -9.374984e-03 -0.310507937 -0.306658592
## 285 2020-10-11  39.8199993 -0.32768771 -9.463707e-03 -0.296269187 -0.311915871
## 286 2020-10-12  39.4300000 -0.35706183 -9.554124e-03 -0.294009646 -0.323202360
## 287 2020-10-13  40.2000010 -0.29906660  1.904529e-02 -0.299066705 -0.317168420
## 288 2020-10-14  41.0400010 -0.23579916  2.038835e-02 -0.287338557 -0.296826104
## 289 2020-10-15  40.9599990 -0.24182478 -1.902997e-03 -0.289813304 -0.283075772
## 290 2020-10-16  40.8800010 -0.24785010 -1.906530e-03 -0.286800536 -0.274269353
## 291 2020-10-17  40.8633347 -0.24910538 -3.979545e-04 -0.279770791 -0.267978359
## 292 2020-10-18  40.8466683 -0.25036066 -3.981129e-04 -0.268724070 -0.263573934
## 293 2020-10-19  40.8300020 -0.25161594 -3.982715e-04 -0.253660372 -0.260584436
## 294 2020-10-20  41.4599990 -0.20416559  1.506089e-02 -0.240103085 -0.246479723
## 295 2020-10-21  40.0299990 -0.31187087 -3.367876e-02 -0.250970473 -0.262827511
## 296 2020-10-22  40.6399990 -0.26592666  1.486717e-02 -0.254413599 -0.263602298
## 297 2020-10-23  39.8499980 -0.32542826 -1.897217e-02 -0.265496193 -0.279058788
## 298 2020-10-24  39.4199990 -0.35781509 -1.052629e-02 -0.281026152 -0.298747863
## 299 2020-10-25  38.9900000 -0.39020192 -1.063827e-02 -0.301003474 -0.321611376
## 300 2020-10-26  38.5600010 -0.42258875 -1.075266e-02 -0.325428161 -0.346855718
## 301 2020-10-27  39.5700000 -0.34651725  2.553081e-02 -0.345764113 -0.346771102
## 302 2020-10-28  37.3899990 -0.51071140 -5.373431e-02 -0.374169904 -0.387756178
## 303 2020-10-29  36.1699980 -0.60259991 -3.177914e-02 -0.422266082 -0.441467110
## 304 2020-10-30  35.7900010 -0.63122067 -1.022322e-02 -0.465950712 -0.488905500
## 305 2020-10-31  36.1300010 -0.60561242  9.241641e-03 -0.501350331 -0.518082229
## 306 2020-11-01  36.4700010 -0.58000417  9.157016e-03 -0.528464938 -0.533562714
## 307 2020-11-02  36.8100010 -0.55439592  9.073926e-03 -0.547294534 -0.538771014
## 308 2020-11-03  37.6600000 -0.49037537  2.248080e-02 -0.567845692 -0.526672102
## 309 2020-11-04  39.1500020 -0.37815082  3.854118e-02 -0.548908467 -0.489541783
## 310 2020-11-05  38.7900010 -0.40526552 -8.966401e-03 -0.520717840 -0.468472717
## 311 2020-11-06  37.1399990 -0.52954100 -4.146775e-02 -0.506192173 -0.483739788
## 312 2020-11-07  38.1899997 -0.45045665  2.753017e-02 -0.484027063 -0.475419003
## 313 2020-11-08  39.2400003 -0.37137230  2.679257e-02 -0.454222510 -0.449407326
## 314 2020-11-09  40.2900010 -0.29228794  2.609346e-02 -0.416778514 -0.410127480
## 315 2020-11-10  41.3600010 -0.21169727  2.591426e-02 -0.376967357 -0.360519928
## 316 2020-11-11  41.4500010 -0.20491862  2.124646e-03 -0.352219899 -0.321619601
## 317 2020-11-12  41.1199990 -0.22977384 -7.773899e-03 -0.327149659 -0.298658159
## 318 2020-11-13  40.1300010 -0.30433888 -2.350423e-02 -0.294977928 -0.300078341
## 319 2020-11-14  40.5333340 -0.27396049  9.806297e-03 -0.269764192 -0.293548879
## 320 2020-11-15  40.9366670 -0.24358211  9.711067e-03 -0.251508450 -0.281057186
## 321 2020-11-16  41.3400000 -0.21320372  9.617669e-03 -0.240210704 -0.264093818
## 322 2020-11-17  41.4300000 -0.20642506  2.125650e-03 -0.239457531 -0.249676629
## 323 2020-11-18  41.8200000 -0.17705089  9.191610e-03 -0.235476427 -0.231520195
## 324 2020-11-19  41.7400020 -0.18307621 -1.868239e-03 -0.228805338 -0.219409199
## 325 2020-11-20  42.1500020 -0.15219567  9.592887e-03 -0.207070594 -0.202605818
## 326 2020-11-21  42.4533350 -0.12934912  7.029733e-03 -0.186411826 -0.184291644
## 327 2020-11-22  42.7566680 -0.10650257  6.980661e-03 -0.166829036 -0.164844376
## 328 2020-11-23  43.0600010 -0.08365602  6.932269e-03 -0.148322222 -0.144547288
## 329 2020-11-24  44.9100000  0.05568291  4.198817e-02 -0.110878226 -0.094489738
## 330 2020-11-25  45.7099990  0.11593754  1.742538e-02 -0.069022735 -0.041882917
## 331 2020-11-26  45.6359992  0.11036400 -1.584239e-03 -0.027102705 -0.003821188
## 332 2020-11-27  45.5619994  0.10479045 -1.586753e-03  0.009609599  0.023331722
## 333 2020-11-28  45.4879996  0.09921691 -1.589275e-03  0.042261889  0.042303019
## 334 2020-11-29  45.4139998  0.09364336 -1.591804e-03  0.070854165  0.055138105
## 335 2020-11-30  45.3400000  0.08806982 -1.594342e-03  0.095386428  0.063371033
## 336 2020-12-01  44.5499990  0.02856822 -1.704793e-02  0.091512900  0.054670329
## 337 2020-12-02  45.2799990  0.08355064  1.602635e-02  0.086886200  0.061890407
## 338 2020-12-03  45.6399990  0.11066526  7.778738e-03  0.086929237  0.074084119
## 339 2020-12-04  46.2599980  0.15736258  1.329329e-02  0.094439540  0.094903734
## 340 2020-12-05  46.0933313  0.14480952 -3.526591e-03  0.100952770  0.107380180
## 341 2020-12-06  45.9266647  0.13225645 -3.539071e-03  0.106468926  0.113599248
## 342 2020-12-07  45.7599980  0.11970339 -3.551641e-03  0.110988007  0.115125283
## 343 2020-12-08  45.5999980  0.10765245 -3.421728e-03  0.122285754  0.113257074
## 344 2020-12-09  45.5200000  0.10162713 -1.716695e-03  0.124868109  0.110349587
## 345 2020-12-10  46.7799990  0.19652821  2.708510e-02  0.137134246  0.131894244
## 346 2020-12-11  46.5700000  0.18071143 -4.395124e-03  0.140469796  0.144098540
## 347 2020-12-12  46.7100007  0.19125605  2.943045e-03  0.147105015  0.155887918
## 348 2020-12-13  46.8500013  0.20180068  2.934409e-03  0.157039905  0.167366108
## 349 2020-12-14  46.9900020  0.21234530  2.925824e-03  0.170274464  0.178610906
## 350 2020-12-15  47.6199990  0.25979566  1.312767e-02  0.192009208  0.198907093
## 351 2020-12-16  47.8200000  0.27485941  4.113554e-03  0.216756677  0.217895172
## 352 2020-12-17  48.3600010  0.31553141  1.106106e-02  0.233757133  0.242304231
## 353 2020-12-18  49.0999980  0.37126679  1.499184e-02  0.260979327  0.274544871
## 354 2020-12-19  48.6466660  0.33712255 -9.048543e-03  0.281817399  0.290189292
## 355 2020-12-20  48.1933340  0.30297832 -9.131167e-03  0.296271348  0.293386549
## 356 2020-12-21  47.7400020  0.26883409 -9.215314e-03  0.304341175  0.287248434
## 357 2020-12-22  47.0200000  0.21460470 -1.477230e-02  0.297885324  0.269087501
## 358 2020-12-23  48.1199990  0.29745485  2.290710e-02  0.301113244  0.276179337
## 359 2020-12-24  48.0199990  0.28992301 -2.035831e-03  0.297454901  0.279615255
## 360 2020-12-25  47.9199990  0.28239117 -2.039984e-03  0.284758385  0.280309234
## 361 2020-12-26  47.8199990  0.27485933 -2.044154e-03  0.275863639  0.278946759
## 362 2020-12-27  47.7199990  0.26732749 -2.048341e-03  0.270770663  0.276041943
## 363 2020-12-28  47.6199990  0.25979566 -2.052545e-03  0.269479459  0.271980371
## 364 2020-12-29  48.0000000  0.28841672  7.815734e-03  0.280024032  0.276089457
## 365 2020-12-30  48.4000020  0.31854422  8.163306e-03  0.283036800  0.286703148
## 366 2020-12-31  48.5200000  0.32758228  2.429109e-03  0.288416695  0.296922930
## 367 2021-01-01  48.2949998  0.31063562 -4.543624e-03  0.292451617  0.300351103
## 368 2021-01-02  48.0699995  0.29368897 -4.564363e-03  0.295141564  0.298685569
## 369 2021-01-03  47.8449993  0.27674231 -4.585291e-03  0.296486538  0.293199754
## 370 2021-01-04  47.6199990  0.25979566 -4.606413e-03  0.296486538  0.284848730
## 371 2021-01-05  49.9300000  0.43378120  4.751133e-02  0.317252892  0.322081846
## 372 2021-01-06  50.6300010  0.48650414  1.374437e-02  0.341247167  0.363187420
## 373 2021-01-07  50.8300020  0.50156789  3.873736e-03  0.366102255  0.397782538
## 374 2021-01-08  52.2400020  0.60776681  2.720432e-02  0.408549568  0.450278607
## 375 2021-01-09  52.2433347  0.60801782  6.259704e-05  0.453453690  0.489713411
## 376 2021-01-10  52.2466673  0.60826883  6.259312e-05  0.500814622  0.519352267
## 377 2021-01-11  52.2500000  0.60851985  6.258921e-05  0.550632364  0.541644161
## 378 2021-01-12  53.2099990  0.68082542  1.802815e-02  0.585924395  0.576439476
## 379 2021-01-13  52.9100000  0.65822998 -5.534016e-03  0.610456658  0.596887101
## 380 2021-01-14  53.5700000  0.70794011  1.224263e-02  0.639938404  0.624650354
## 381 2021-01-15  52.3600010  0.61680494 -2.217334e-02  0.641229565  0.622689001
## 382 2021-01-16  52.5150007  0.62847927  2.904793e-03  0.644152629  0.624136569
## 383 2021-01-17  52.6700005  0.64015360  2.896379e-03  0.648707596  0.628140828
## 384 2021-01-18  52.8250003  0.65182793  2.888015e-03  0.654894466  0.634062605
## 385 2021-01-19  52.9800000  0.66350227  2.879698e-03  0.652419730  0.641422520
## 386 2021-01-20  53.2400020  0.68308520  4.816636e-03  0.655970476  0.651838189
## 387 2021-01-21  53.1300010  0.67480010 -2.028042e-03  0.651236188  0.657578666
## 388 2021-01-22  52.2700000  0.61002621 -1.588770e-02  0.650267798  0.645690553
## 389 2021-01-23  52.4366667  0.62257928  3.128715e-03  0.649424941  0.639912734
## 390 2021-01-24  52.6033333  0.63513234  3.118957e-03  0.648707618  0.638717636
## 391 2021-01-25  52.7700000  0.64768540  3.109259e-03  0.648115828  0.640959578
## 392 2021-01-26  52.6100010  0.63563454 -2.975618e-03  0.644134724  0.639628318
## 393 2021-01-27  52.8499980  0.65371072  4.476721e-03  0.639938371  0.643148920
## 394 2021-01-28  52.3400000  0.61529850 -9.470715e-03  0.631438143  0.636186315
## 395 2021-01-29  52.2000010  0.60475400 -2.624653e-03  0.630684970  0.628328237
## 396 2021-01-30  52.6500003  0.63864722  8.458634e-03  0.632980391  0.630907984
## 397 2021-01-31  53.0999997  0.67254045  8.387686e-03  0.638324406  0.641316099
## 398 2021-02-01  53.5499990  0.70643367  8.317917e-03  0.646717015  0.657595492
## 399 2021-02-02  54.7599980  0.79756884  2.218147e-02  0.669850486  0.692588828
## 400 2021-02-03  55.6899990  0.86761501  1.667864e-02  0.700408241  0.736345373
## 401 2021-02-04  56.2300000  0.90828701  9.525507e-03  0.742263743  0.779330783
## 402 2021-02-05  56.8499980  0.95498426  1.083344e-02  0.792296636  0.823244151
## 403 2021-02-06  57.2233323  0.98310320  6.453489e-03  0.841504632  0.863208913
## 404 2021-02-07  57.5966667  1.01122213  6.412109e-03  0.889887731  0.900212218
## 405 2021-02-08  57.9700010  1.03934107  6.371255e-03  0.937445931  0.934994432
## 406 2021-02-09  58.3600010  1.06871524  6.613532e-03  0.976181132  0.968424635
## 407 2021-02-10  58.6800000  1.09281705  5.390819e-03  1.008352852  0.999522739
## 408 2021-02-11  58.2400020  1.05967711 -7.372621e-03  1.029980010  1.014561332
## 409 2021-02-12  59.4700010  1.15231865  2.076298e-02  1.058170637  1.049000661
## 410 2021-02-13  59.6150005  1.16323978  2.397875e-03  1.083904434  1.077560440
## 411 2021-02-14  59.7600000  1.17416090  2.392139e-03  1.107181401  1.101710556
## 412 2021-02-15  59.9049995  1.18508203  2.386430e-03  1.128001538  1.122553425
## 413 2021-02-16  60.0499990  1.19600316  2.380749e-03  1.146185526  1.140915859
## 414 2021-02-17  61.1399990  1.27810020  1.785422e-02  1.172654547  1.175211943
## 415 2021-02-18  60.5200000  1.23140288 -9.977454e-03  1.197186799  1.189259676
## 416 2021-02-19  59.2400020  1.13499550 -2.080621e-02  1.194712063  1.175693631
## 417 2021-02-20  59.9900020  1.19148428  1.245020e-02  1.198746992  1.179641294
## 418 2021-02-21  60.7400020  1.24797307  1.229710e-02  1.209291588  1.196724238
## 419 2021-02-22  61.4900020  1.30446186  1.214772e-02  1.226345848  1.223658643
## 420 2021-02-23  61.6699980  1.31801887  2.880397e-03  1.243776663  1.247248699
## 421 2021-02-24  63.2200010  1.43476259  2.473278e-02  1.266157005  1.294127170
## 422 2021-02-25  63.5299990  1.45811113  4.827125e-03  1.298543899  1.335123161
## 423 2021-02-26  61.5000000  1.30521489 -3.145822e-02  1.322860955  1.327646094
## 424 2021-02-27  61.2133330  1.28362360 -4.586672e-03  1.336023714  1.316640469
## 425 2021-02-28  60.9266660  1.26203230 -4.607806e-03  1.338032176  1.302988427
## 426 2021-03-01  60.6399990  1.24044101 -4.629137e-03  1.328886340  1.287351572
## 427 2021-03-02  59.7500000  1.17340772 -1.443866e-02  1.308227605  1.258865609
## 428 2021-03-03  61.2799990  1.28864477  2.518517e-02  1.287353631  1.266310399
## 429 2021-03-04  63.8300020  1.48070687  4.094417e-02  1.290581594  1.319909518
## 430 2021-03-05  66.0899960  1.65092597  3.486031e-02  1.339968891  1.402663631
## 431 2021-03-06  65.7433317  1.62481577 -5.167154e-03  1.388710630  1.458201666
## 432 2021-03-07  65.3966673  1.59870557 -5.193992e-03  1.436806812  1.493327643
## 433 2021-03-08  65.0500030  1.57259538 -5.221110e-03  1.484257437  1.513144577
## 434 2021-03-09  64.0100020  1.49426418 -1.574566e-02  1.530094075  1.508424478
## 435 2021-03-10  64.4400020  1.52665109  6.614367e-03  1.564094977  1.512981131
## 436 2021-03-11  66.0199970  1.64565376  2.414418e-02  1.587658817  1.546149287
## 437 2021-03-12  65.6100010  1.61477352 -6.117517e-03  1.582494182  1.563305346
## 438 2021-03-13  65.5366670  1.60925012 -1.100946e-03  1.580270518  1.574791540
## 439 2021-03-14  65.4633330  1.60372672 -1.102159e-03  1.580987825  1.582025336
## 440 2021-03-15  65.3899990  1.59820333 -1.103375e-03  1.584646104  1.586069834
## 441 2021-03-16  64.8000030  1.55376578 -8.886820e-03  1.593146332  1.577993821
## 442 2021-03-17  64.5999980  1.53870173 -3.039590e-03  1.594867852  1.568170798
## 443 2021-03-18  60.0000000  1.19223732 -7.012192e-02  1.530094075  1.474187427
## 444 2021-03-19  61.4199980  1.29918927  2.327866e-02  1.485010610  1.430437888
## 445 2021-03-20  61.4633317  1.30245309  6.942273e-04  1.441182463  1.398441689
## 446 2021-03-21  61.5066653  1.30571691  6.937457e-04  1.398609632  1.375260495
## 447 2021-03-22  61.5499990  1.30898073  6.932647e-04  1.357292119  1.358690555
## 448 2021-03-23  57.7599980  1.02352399 -6.059154e-02  1.281543291  1.274898913
## 449 2021-03-24  61.1800000  1.28111301  5.820290e-02  1.244744903  1.276452437
## 450 2021-03-25  58.5600010  1.08377892 -4.213572e-02  1.229250846  1.228284057
## 451 2021-03-26  60.9700010  1.26529622  4.046340e-02  1.224408982  1.237537099
## 452 2021-03-27  61.1666677  1.28010884  3.173579e-03  1.221216946  1.248180034
## 453 2021-03-28  61.3633343  1.29492145  3.163539e-03  1.219674738  1.259865389
## 454 2021-03-29  61.5600010  1.30973407  3.153562e-03  1.219782357  1.272332559
## 455 2021-03-30  60.5499990  1.23366235 -1.614453e-02  1.249802123  1.262665007
## 456 2021-03-31  59.1600000  1.12896987 -2.258325e-02  1.228067390  1.229241224
## 457 2021-04-01  61.4500010  1.30144905  3.806518e-02  1.259163122  1.247293180
## 458 2021-04-02  60.7500012  1.24872620 -1.120896e-02  1.256795976  1.247651434
## 459 2021-04-03  60.0500015  1.19600335 -1.133603e-02  1.244780906  1.234739413
## 460 2021-04-04  59.3500017  1.14328050 -1.146601e-02  1.223117912  1.211874684
## 461 2021-04-05  58.6500020  1.09055765 -1.159900e-02  1.191806995  1.181545425
## 462 2021-04-06  59.3300020  1.14177415  1.139983e-02  1.178680109  1.171602606
## 463 2021-04-07  59.7700000  1.17491409  7.293187e-03  1.185243568  1.172430477
## 464 2021-04-08  59.5999980  1.16210981 -2.797466e-03  1.165337963  1.169850311
## 465 2021-04-09  59.3200000  1.14102082 -4.620429e-03  1.149951480  1.162642937
## 466 2021-04-10  59.4466670  1.15056117  2.099917e-03  1.143459740  1.159622495
## 467 2021-04-11  59.5733340  1.16010152  2.095517e-03  1.145862744  1.159742252
## 468 2021-04-12  59.7000010  1.16964188  2.091135e-03  1.157160490  1.162217158
## 469 2021-04-13  60.1800000  1.20579462  7.907726e-03  1.166306273  1.173111525
## 470 2021-04-14  63.1500020  1.42949037  4.854531e-02  1.202674313  1.237206237
## 471 2021-04-15  63.4599990  1.45283885  4.832377e-03  1.244207033  1.291114389
## 472 2021-04-16  63.1300010  1.42798393 -5.119423e-03  1.285201763  1.325331775
## 473 2021-04-17  63.2133343  1.43426046  1.299444e-03  1.325730234  1.352563947
## 474 2021-04-18  63.2966677  1.44053699  1.297757e-03  1.365792444  1.374557209
## 475 2021-04-19  63.3800010  1.44681353  1.296075e-03  1.405388394  1.392621288
## 476 2021-04-20  62.4399990  1.37601410 -1.460084e-02  1.429705462  1.388469490
## 477 2021-04-21  61.3499980  1.29391698 -1.718160e-02  1.410337834  1.364831363
## 478 2021-04-22  61.4300000  1.29994260  1.283112e-03  1.388495514  1.348609173
## 479 2021-04-23  62.1399990  1.35341858  1.137272e-02  1.377843321  1.349811525
## 480 2021-04-24  62.0633327  1.34764420 -1.214228e-03  1.365469569  1.349269693
## 481 2021-04-25  61.9866663  1.34186981 -1.215704e-03  1.351374257  1.347419723
## 482 2021-04-26  61.9100000  1.33609543 -1.217184e-03  1.335557386  1.344588649
## 483 2021-04-27  62.9399990  1.41367329  1.637258e-02  1.340937270  1.361859809
## 484 2021-04-28  63.8600010  1.48296635  1.438852e-02  1.367944323  1.392136444
## 485 2021-04-29  65.0100020  1.56958257  1.773051e-02  1.406464318  1.436497975
## 486 2021-04-30  63.5800020  1.46187728 -2.166338e-02  1.421958417  1.442842801
## 
## [[5]]
##           Date     Gold      Gold_std      Gold_ROC     Gold_7MA    Gold_7EMA
## 1   2020-01-01 1522.000 -2.0195099619            NA -2.019509962 -2.019509962
## 2   2020-01-02 1524.500 -1.9995405901  1.641497e-03 -2.009525276 -2.014517619
## 3   2020-01-03 1549.200 -1.8022435877  1.619138e-02 -1.940431380 -1.961449111
## 4   2020-01-04 1554.867 -1.7569796782  3.655442e-03 -1.894568454 -1.910331753
## 5   2020-01-05 1560.533 -1.7117157686  3.642129e-03 -1.857997917 -1.860677757
## 6   2020-01-06 1566.200 -1.6664518591  3.628912e-03 -1.826073574 -1.812121282
## 7   2020-01-07 1571.800 -1.6217196834  3.573314e-03 -1.796880161 -1.764520883
## 8   2020-01-08 1557.400 -1.7367434649 -9.155662e-03 -1.756484947 -1.757576528
## 9   2020-01-09 1551.700 -1.7822742158 -3.657644e-03 -1.725446894 -1.763750950
## 10  2020-01-10 1557.500 -1.7359448817  3.735460e-03 -1.715975650 -1.756799433
## 11  2020-01-11 1554.467 -1.7601743223 -1.946311e-03 -1.716432028 -1.757643155
## 12  2020-01-12 1551.433 -1.7844037629 -1.950106e-03 -1.726816027 -1.764333307
## 13  2020-01-13 1548.400 -1.8086332036 -1.953917e-03 -1.747127648 -1.775408281
## 14  2020-01-14 1542.400 -1.8565596960 -3.872467e-03 -1.780676221 -1.795696135
## 15  2020-01-15 1552.100 -1.7790789166  6.284795e-03 -1.786724143 -1.791541830
## 16  2020-01-16 1549.000 -1.8038407460 -1.995993e-03 -1.789805076 -1.794616559
## 17  2020-01-17 1558.800 -1.7255604170  6.322612e-03 -1.788321581 -1.777352524
## 18  2020-01-18 1558.200 -1.7303531162 -3.846687e-04 -1.784061408 -1.765602672
## 19  2020-01-19 1557.600 -1.7351458153 -3.848167e-04 -1.777024559 -1.757988458
## 20  2020-01-20 1557.000 -1.7399385145 -3.849649e-04 -1.767211032 -1.753475972
## 21  2020-01-21 1556.400 -1.7447312137 -3.851131e-04 -1.751235534 -1.751289782
## 22  2020-01-22 1555.300 -1.7535175376 -7.062893e-04 -1.747583909 -1.751846721
## 23  2020-01-23 1564.600 -1.6792320574  5.975665e-03 -1.729782667 -1.733693055
## 24  2020-01-24 1571.100 -1.6273116906  4.151763e-03 -1.715747135 -1.707097714
## 25  2020-01-25 1573.000 -1.6121347736  1.208590e-03 -1.698858800 -1.683356979
## 26  2020-01-26 1574.900 -1.5969578567  1.207131e-03 -1.679117663 -1.661757198
## 27  2020-01-27 1576.800 -1.5817809397  1.205676e-03 -1.656523724 -1.641763134
## 28  2020-01-28 1569.200 -1.6424886129 -4.816896e-03 -1.641917638 -1.641944504
## 29  2020-01-29 1569.800 -1.6376951809  3.821794e-04 -1.625371587 -1.640882173
## 30  2020-01-30 1583.500 -1.5282634146  8.721639e-03 -1.603804638 -1.612727483
## 31  2020-01-31 1582.900 -1.5330558721 -3.786532e-04 -1.590339522 -1.592809580
## 32  2020-02-01 1581.000 -1.5482327891 -1.199586e-03 -1.581210667 -1.581665383
## 33  2020-02-02 1579.100 -1.5634097060 -1.201027e-03 -1.576418074 -1.577101463
## 34  2020-02-03 1577.200 -1.5785866230 -1.202471e-03 -1.575961743 -1.577472753
## 35  2020-02-04 1550.400 -1.7926577061 -1.698133e-02 -1.597414470 -1.631268992
## 36  2020-02-05 1557.800 -1.7335481657  4.769901e-03 -1.611107754 -1.656838785
## 37  2020-02-06 1565.100 -1.6752381830  4.683043e-03 -1.632104149 -1.661438635
## 38  2020-02-07 1568.600 -1.6472810625  2.234851e-03 -1.648422034 -1.657899242
## 39  2020-02-08 1570.633 -1.6310393733  1.295442e-03 -1.660251546 -1.651184274
## 40  2020-02-09 1572.667 -1.6147976841  1.293766e-03 -1.667592685 -1.642087627
## 41  2020-02-10 1574.700 -1.5985559949  1.292094e-03 -1.670445453 -1.631204719
## 42  2020-02-11 1565.600 -1.6712443087 -5.775195e-03 -1.653100682 -1.641214616
## 43  2020-02-12 1567.400 -1.6568659775  1.149016e-03 -1.642146083 -1.645127457
## 44  2020-02-13 1575.100 -1.5953606957  4.909431e-03 -1.630735014 -1.632685766
## 45  2020-02-14 1582.700 -1.5346540050  4.822013e-03 -1.614645434 -1.608177826
## 46  2020-02-15 1587.025 -1.5001068938  2.730954e-03 -1.595940794 -1.581160093
## 47  2020-02-16 1591.350 -1.4655597827  2.723517e-03 -1.574621094 -1.552260015
## 48  2020-02-17 1595.675 -1.4310126715  2.716119e-03 -1.550686334 -1.521948179
## 49  2020-02-18 1600.000 -1.3964655604  2.708762e-03 -1.511432227 -1.490577525
## 50  2020-02-19 1607.500 -1.3365574449  4.684572e-03 -1.465673865 -1.452072505
## 51  2020-02-20 1616.600 -1.2638691231  5.657430e-03 -1.418317926 -1.405021659
## 52  2020-02-21 1644.600 -1.0402121584  1.730959e-02 -1.347683376 -1.313819284
## 53  2020-02-22 1653.867 -0.9661922256  5.631188e-03 -1.271409852 -1.226912519
## 54  2020-02-23 1663.133 -0.8921722929  5.599655e-03 -1.189497354 -1.143227463
## 55  2020-02-24 1672.400 -0.8181523601  5.568474e-03 -1.101945881 -1.061958687
## 56  2020-02-25 1646.900 -1.0218399529 -1.523844e-02 -1.048427937 -1.051929004
## 57  2020-02-26 1640.000 -1.0769556109 -4.187162e-03 -1.011341961 -1.058185655
## 58  2020-02-27 1640.000 -1.0769556109  0.000000e+00 -0.984640030 -1.062878144
## 59  2020-02-28 1564.100 -1.6832259318 -4.625230e-02 -1.076499141 -1.217965091
## 60  2020-02-29 1573.500 -1.6081408993  6.006022e-03 -1.168206094 -1.315509043
## 61  2020-03-01 1582.900 -1.5330558668  5.970165e-03 -1.259760890 -1.369895749
## 62  2020-03-02 1592.300 -1.4579708343  5.934733e-03 -1.351163530 -1.391914520
## 63  2020-03-03 1642.100 -1.0601815303  3.125584e-02 -1.356640898 -1.308981273
## 64  2020-03-04 1641.100 -1.0681692790 -6.086057e-04 -1.355385707 -1.248778274
## 65  2020-03-05 1666.400 -0.8660788525  1.540713e-02 -1.325260456 -1.153103419
## 66  2020-03-06 1670.800 -0.8309325584  2.638854e-03 -1.203504260 -1.072560704
## 67  2020-03-07 1672.033 -0.8210811321  7.377180e-04 -1.091067150 -1.009690811
## 68  2020-03-08 1673.267 -0.8112297058  7.371742e-04 -0.987949127 -0.960075535
## 69  2020-03-09 1674.500 -0.8013782794  7.366312e-04 -0.894150191 -0.920401221
## 70  2020-03-10 1659.100 -0.9243898017 -9.191301e-03 -0.874751373 -0.921398366
## 71  2020-03-11 1641.400 -1.0657725710 -1.066198e-02 -0.874408986 -0.957491917
## 72  2020-03-12 1589.300 -1.4819340805 -3.172185e-02 -0.962388304 -1.088602458
## 73  2020-03-13 1515.700 -2.0698331704 -4.628064e-02 -1.139374106 -1.333910136
## 74  2020-03-14 1505.767 -2.1491779468 -6.549291e-03 -1.329102222 -1.537727089
## 75  2020-03-15 1495.833 -2.2285227232 -6.592467e-03 -1.531572653 -1.710425997
## 76  2020-03-16 1485.900 -2.3078674996 -6.636216e-03 -1.746785399 -1.859786373
## 77  2020-03-17 1524.900 -1.9963452989  2.622907e-02 -1.899921899 -1.893926104
## 78  2020-03-18 1477.300 -2.3765619391 -3.119469e-02 -2.087177523 -2.014585063
## 79  2020-03-19 1478.600 -2.3661784488  8.793391e-04 -2.213498147 -2.102483410
## 80  2020-03-20 1484.000 -2.3230444140  3.649651e-03 -2.249671181 -2.157623661
## 81  2020-03-21 1511.667 -2.1020500322  1.863075e-02 -2.242938622 -2.143730254
## 82  2020-03-22 1539.333 -1.8810556505  1.829000e-02 -2.193300469 -2.078061603
## 83  2020-03-23 1567.000 -1.6600612687  1.796148e-02 -2.100756722 -1.973561519
## 84  2020-03-24 1660.200 -0.9156034778  5.943874e-02 -1.946365033 -1.709072009
## 85  2020-03-25 1632.300 -1.1384608848 -1.679503e-02 -1.769493454 -1.566419228
## 86  2020-03-26 1650.100 -0.9962795404  1.089814e-02 -1.573793610 -1.423884306
## 87  2020-03-27 1623.900 -1.2055581739 -1.586818e-02 -1.414152718 -1.369302773
## 88  2020-03-28 1623.267 -1.2106171453 -3.897725e-04 -1.286805163 -1.329631366
## 89  2020-03-29 1622.633 -1.2156761167 -3.899245e-04 -1.191750944 -1.301142554
## 90  2020-03-30 1622.000 -1.2207350882 -3.900766e-04 -1.128990061 -1.281040687
## 91  2020-03-31 1583.400 -1.5290619977 -2.378310e-02 -1.216626992 -1.343046015
## 92  2020-04-01 1578.200 -1.5705988743 -3.282046e-03 -1.278360991 -1.399934230
## 93  2020-04-02 1625.700 -1.1911808092  3.007852e-02 -1.306204029 -1.347745875
## 94  2020-04-03 1633.700 -1.1272788193  4.917932e-03 -1.295021264 -1.292629111
## 95  2020-04-04 1648.133 -1.0119888488  8.829357e-03 -1.266645793 -1.222469045
## 96  2020-04-05 1662.567 -0.8966988782  8.752082e-03 -1.221077617 -1.141026504
## 97  2020-04-06 1677.000 -0.7814089076  8.676148e-03 -1.158316734 -1.051122105
## 98  2020-04-07 1664.800 -0.8788590508 -7.270531e-03 -1.065430598 -1.008056341
## 99  2020-04-08 1665.400 -0.8740666013  3.601723e-04 -0.965925988 -0.974558906
## 100 2020-04-09 1736.200 -0.3085345737  4.248675e-02 -0.839833669 -0.808052823
## 101 2020-04-10 1738.350 -0.2913607183  1.237638e-03 -0.720416797 -0.678879797
## 102 2020-04-11 1740.500 -0.2741868628  1.236108e-03 -0.615016513 -0.577706563
## 103 2020-04-12 1742.650 -0.2570130073  1.234582e-03 -0.523632817 -0.497533174
## 104 2020-04-13 1744.800 -0.2398391518  1.233060e-03 -0.446265709 -0.433109669
## 105 2020-04-14 1756.700 -0.1447857246  6.816303e-03 -0.341398091 -0.361028683
## 106 2020-04-15 1727.200 -0.3804243124 -1.678330e-02 -0.270877764 -0.365877590
## 107 2020-04-16 1720.400 -0.4347404207 -3.934688e-03 -0.288907171 -0.383093298
## 108 2020-04-17 1689.200 -0.6839587644 -1.812482e-02 -0.344992606 -0.458309664
## 109 2020-04-18 1693.333 -0.6509426697  2.445475e-03 -0.398814864 -0.506467916
## 110 2020-04-19 1697.467 -0.6179265750  2.439509e-03 -0.450373946 -0.534332581
## 111 2020-04-20 1701.600 -0.5849104804  2.433572e-03 -0.499669850 -0.546977056
## 112 2020-04-21 1678.200 -0.7718240005 -1.374370e-02 -0.589246746 -0.603188792
## 113 2020-04-22 1728.700 -0.3684426893  3.007385e-02 -0.587535086 -0.544502266
## 114 2020-04-23 1733.300 -0.3316982623  2.659477e-03 -0.572814777 -0.491301265
## 115 2020-04-24 1723.500 -0.4099785913 -5.650723e-03 -0.533674753 -0.470970597
## 116 2020-04-25 1719.633 -0.4408644892 -2.242191e-03 -0.503663584 -0.463444070
## 117 2020-04-26 1715.767 -0.4717503871 -2.247230e-03 -0.482781271 -0.465520649
## 118 2020-04-27 1711.900 -0.5026362850 -2.252291e-03 -0.471027815 -0.474799558
## 119 2020-04-28 1710.500 -0.5138193249 -8.173413e-04 -0.434170004 -0.484554500
## 120 2020-04-29 1703.400 -0.5705321492 -4.148394e-03 -0.463039927 -0.506048912
## 121 2020-04-30 1684.200 -0.7238975081 -1.126500e-02 -0.519068391 -0.560511061
## 122 2020-05-01 1694.500 -0.6416233047  6.112063e-03 -0.552160493 -0.580789122
## 123 2020-05-02 1698.633 -0.6086072127  2.437830e-03 -0.576123739 -0.587743645
## 124 2020-05-03 1702.767 -0.5755911207  2.431902e-03 -0.590958129 -0.584705514
## 125 2020-05-04 1706.900 -0.5425750286  2.426002e-03 -0.596663664 -0.574172892
## 126 2020-05-05 1704.400 -0.5625444005 -1.463786e-03 -0.603624389 -0.571265769
## 127 2020-05-06 1684.200 -0.7238975081 -1.184477e-02 -0.625533726 -0.609423704
## 128 2020-05-07 1721.800 -0.4235573728  2.231195e-02 -0.582627993 -0.562957121
## 129 2020-05-08 1709.900 -0.5186117824 -6.907374e-03 -0.565054918 -0.551870787
## 130 2020-05-09 1705.033 -0.5574854264 -2.844502e-03 -0.557751806 -0.553274447
## 131 2020-05-10 1700.167 -0.5963590703 -2.852616e-03 -0.560718656 -0.564045602
## 132 2020-05-11 1695.300 -0.6352327143 -2.860777e-03 -0.573955468 -0.581842380
## 133 2020-05-12 1704.400 -0.5625444005  5.364602e-03 -0.573955468 -0.577017885
## 134 2020-05-13 1713.900 -0.4866607875  5.570541e-03 -0.540064508 -0.554428611
## 135 2020-05-14 1738.100 -0.2933576514  1.411158e-02 -0.521464548 -0.489160871
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## 137 2020-05-16 1746.200 -0.2286564367 -4.103962e-03 -0.424850825 -0.364406733
## 138 2020-05-17 1739.000 -0.2861681610 -4.120874e-03 -0.380537838 -0.344847090
## 139 2020-05-18 1731.800 -0.3436798854 -4.137926e-03 -0.338887434 -0.344555289
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## 141 2020-05-20 1750.600 -0.1935107922  3.667216e-03 -0.251592889 -0.288058657
## 142 2020-05-21 1720.500 -0.4339418375 -1.718428e-02 -0.271676344 -0.324529452
## 143 2020-05-22 1734.600 -0.3213147720  8.190518e-03 -0.293129210 -0.323725782
## 144 2020-05-23 1727.150 -0.3808233543 -4.292453e-03 -0.314867341 -0.338000175
## 145 2020-05-24 1719.700 -0.4403319367 -4.310958e-03 -0.336890737 -0.363583116
## 146 2020-05-25 1712.250 -0.4998405190 -4.329623e-03 -0.359199399 -0.397647466
## 147 2020-05-26 1704.800 -0.5593491013 -4.348450e-03 -0.404158902 -0.438072875
## 148 2020-05-27 1710.300 -0.5154164832  3.224293e-03 -0.450145429 -0.457408777
## 149 2020-05-28 1713.300 -0.4914532370  1.753053e-03 -0.458361343 -0.465919892
## 150 2020-05-29 1736.900 -0.3029425665  1.376654e-02 -0.455736743 -0.425175561
## 151 2020-05-30 1737.200 -0.3005461753  1.726269e-04 -0.444268574 -0.394018214
## 152 2020-05-31 1737.500 -0.2981497841  1.725971e-04 -0.423956838 -0.370051107
## 153 2020-06-01 1737.800 -0.2957533930  1.725673e-04 -0.394801534 -0.351476678
## 154 2020-06-02 1725.200 -0.3963998099 -7.246433e-03 -0.371523064 -0.362707461
## 155 2020-06-03 1697.800 -0.6152633425 -1.587296e-02 -0.385786901 -0.425846432
## 156 2020-06-04 1718.900 -0.4467220438  1.242052e-02 -0.379396731 -0.431065335
## 157 2020-06-05 1676.200 -0.7877994980 -2.482707e-02 -0.448662007 -0.520248875
## 158 2020-06-06 1683.567 -0.7289561547  4.392261e-03 -0.509863432 -0.572425695
## 159 2020-06-07 1690.933 -0.6701128114  4.373053e-03 -0.563001008 -0.596847474
## 160 2020-06-08 1698.300 -0.6112694681  4.354013e-03 -0.608074733 -0.600452973
## 161 2020-06-09 1714.700 -0.4802711716  9.650975e-03 -0.620056356 -0.570407522
## 162 2020-06-10 1713.300 -0.4914532370 -8.159364e-04 -0.602369198 -0.550668951
## 163 2020-06-11 1732.000 -0.3420827270  1.090821e-02 -0.587420724 -0.498522395
## 164 2020-06-12 1729.300 -0.3636492572 -1.557964e-03 -0.526827832 -0.464804111
## 165 2020-06-13 1726.300 -0.3876125034 -1.733803e-03 -0.478064454 -0.445506209
## 166 2020-06-14 1723.300 -0.4115757497 -1.736815e-03 -0.441130588 -0.437023594
## 167 2020-06-15 1720.300 -0.4355389959 -1.739836e-03 -0.416026235 -0.436652444
## 168 2020-06-16 1729.600 -0.3612535157  5.402851e-03 -0.399023712 -0.417802712
## 169 2020-06-17 1729.200 -0.3644488149 -2.311482e-04 -0.380880223 -0.404464238
## 170 2020-06-18 1724.800 -0.3995941265 -2.543002e-03 -0.389096138 -0.403246710
## 171 2020-06-19 1745.900 -0.2310528279  1.222620e-02 -0.370153791 -0.360198240
## 172 2020-06-20 1749.500 -0.2022971268  2.060779e-03 -0.343680165 -0.320722961
## 173 2020-06-21 1753.100 -0.1735414257  2.056541e-03 -0.309675262 -0.283927577
## 174 2020-06-22 1756.700 -0.1447857246  2.052321e-03 -0.268139080 -0.249142114
## 175 2020-06-23 1772.100 -0.0217741944  8.761464e-03 -0.219642034 -0.192300134
## 176 2020-06-24 1765.800 -0.0720964283 -3.553058e-03 -0.177877408 -0.162249208
## 177 2020-06-25 1762.100 -0.1016516817 -2.094223e-03 -0.135314201 -0.147099826
## 178 2020-06-26 1772.500 -0.0185789032  5.898715e-03 -0.104960784 -0.114969595
## 179 2020-06-27 1773.267 -0.0124548320  4.322994e-04 -0.077840456 -0.089340905
## 180 2020-06-28 1774.033 -0.0063307608  4.321126e-04 -0.053953218 -0.068588369
## 181 2020-06-29 1774.800 -0.0002066897  4.319260e-04 -0.033299070 -0.051492949
## 182 2020-06-30 1793.000  0.1451699460  1.024887e-02 -0.009449907 -0.002327225
## 183 2020-07-01 1773.200 -0.0129878705 -1.103682e-02 -0.001005827 -0.004992387
## 184 2020-07-02 1784.000  0.0732802073  6.087278e-03  0.023984442  0.014575762
## 185 2020-07-03 1785.125  0.0822664246  6.302521e-04  0.038390918  0.031498428
## 186 2020-07-04 1786.250  0.0912526420  6.298551e-04  0.053206271  0.046436981
## 187 2020-07-05 1787.375  0.1002388593  6.294587e-04  0.068430503  0.059887451
## 188 2020-07-06 1788.500  0.1092250766  6.290627e-04  0.084063612  0.072221857
## 189 2020-07-07 1804.200  0.2346323404  8.773373e-03  0.096843954  0.112824478
## 190 2020-07-08 1815.500  0.3248942925  6.259722e-03  0.145112835  0.165841932
## 191 2020-07-09 1799.200  0.1946935967 -8.973327e-03  0.162457605  0.173054848
## 192 2020-07-10 1798.200  0.1867058480 -5.554938e-04  0.177377522  0.176467598
## 193 2020-07-11 1802.467  0.2207870397  2.371433e-03  0.195882436  0.187547458
## 194 2020-07-12 1806.733  0.2548682315  2.365823e-03  0.217972347  0.204377652
## 195 2020-07-13 1811.000  0.2889494232  2.360239e-03  0.243647253  0.225520595
## 196 2020-07-14 1810.600  0.2857541320 -2.207638e-04  0.250950366  0.240578979
## 197 2020-07-15 1811.400  0.2921447144  4.416251e-04  0.246271855  0.253470413
## 198 2020-07-16 1798.700  0.1906997224 -7.007323e-03  0.245701302  0.237777740
## 199 2020-07-17 1808.300  0.2673828930  5.334277e-03  0.257226594  0.245179028
## 200 2020-07-18 1810.833  0.2876184566  1.400169e-03  0.266773939  0.255788885
## 201 2020-07-19 1813.367  0.3078540202  1.398211e-03  0.274343337  0.268805169
## 202 2020-07-20 1815.900  0.3280895837  1.396259e-03  0.279934789  0.283626273
## 203 2020-07-21 1842.400  0.5397649253  1.458528e-02  0.316222045  0.347660936
## 204 2020-07-22 1864.100  0.7130986895  1.177170e-02  0.376358327  0.439020374
## 205 2020-07-23 1889.100  0.9127924079  1.340411e-02  0.479514425  0.557463383
## 206 2020-07-24 1897.300  0.9782925307  4.338433e-03  0.581072945  0.662670670
## 207 2020-07-25 1908.533  1.0680214444  5.917567e-03  0.692559086  0.764008363
## 208 2020-07-26 1919.767  1.1577503581  5.882755e-03  0.813972849  0.862443862
## 209 2020-07-27 1931.000  1.2474792717  5.848351e-03  0.945314233  0.958702714
## 210 2020-07-28 1944.700  1.3569110380  7.091072e-03  1.062049391  1.058254795
## 211 2020-07-29 1953.500  1.4272036183  4.522819e-03  1.164064381  1.150492001
## 212 2020-07-30 1942.300  1.3377412239 -5.730341e-03  1.224771355  1.197304307
## 213 2020-07-31 1962.800  1.5014900730  1.054907e-02  1.299513861  1.273350748
## 214 2020-08-01 1963.867  1.5100102078  5.431563e-04  1.362655113  1.332515613
## 215 2020-08-02 1964.933  1.5185303427  5.428614e-04  1.414195111  1.379019296
## 216 2020-08-03 1966.000  1.5270504776  5.425669e-04  1.454133854  1.416027091
## 217 2020-08-04 2001.200  1.8082188417  1.789525e-02  1.518606398  1.514075029
## 218 2020-08-05 2031.100  2.0470527287  1.493359e-02  1.607156271  1.647319454
## 219 2020-08-06 2051.500  2.2100029946  1.003889e-02  1.731765095  1.787990339
## 220 2020-08-07 2010.100  1.8793100052 -2.017054e-02  1.785739371  1.810820256
## 221 2020-08-08 2014.867  1.9173850686  2.370187e-03  1.843935780  1.837461459
## 222 2020-08-09 2019.633  1.9554601321  2.364582e-03  1.906354321  1.866961127
## 223 2020-08-10 2024.400  1.9935351955  2.359004e-03  1.972994995  1.898604644
## 224 2020-08-11 1932.600  1.2602594780 -4.532440e-02  1.894715086  1.739018353
## 225 2020-08-12 1934.900  1.2786316835  1.189516e-03  1.784940651  1.623921685
## 226 2020-08-13 1956.700  1.4527640229  1.126087e-02  1.676763655  1.581132270
## 227 2020-08-14 1937.000  1.2954057642 -1.006280e-02  1.593348764  1.509700643
## 228 2020-08-15 1953.000  1.4232097440  8.255934e-03  1.522752289  1.488077919
## 229 2020-08-16 1969.000  1.5510137238  8.188332e-03  1.464974230  1.503811870
## 230 2020-08-17 1985.000  1.6788177036  8.121827e-03  1.420014589  1.547563328
## 231 2020-08-18 1999.400  1.7938414771  7.250767e-03  1.496240588  1.609132865
## 232 2020-08-19 1958.700  1.4687395204 -2.034597e-02  1.523398851  1.574034529
## 233 2020-08-20 1933.800  1.2698453596 -1.270598e-02  1.497267613  1.497987237
## 234 2020-08-21 1934.600  1.2762349755  4.134417e-04  1.494528929  1.442549171
## 235 2020-08-22 1932.300  1.2578630868 -1.188266e-03  1.470907978  1.396377650
## 236 2020-08-23 1930.000  1.2394911982 -1.189680e-03  1.426404760  1.357156037
## 237 2020-08-24 1927.700  1.2211193095 -1.191097e-03  1.361019275  1.323146855
## 238 2020-08-25 1911.800  1.0941148874 -8.243844e-03  1.261058334  1.265888863
## 239 2020-08-26 1940.700  1.3249600431  1.510869e-02  1.240518409  1.280656658
## 240 2020-08-27 1921.600  1.1723942419 -9.836728e-03  1.226596820  1.253591054
## 241 2020-08-28 1964.600  1.5158674376  2.236555e-02  1.260830029  1.319160150
## 242 2020-08-29 1965.600  1.5238551864  5.087505e-04  1.298828901  1.370333909
## 243 2020-08-30 1966.600  1.5318429351  5.084918e-04  1.340593434  1.410711166
## 244 2020-08-31 1967.600  1.5398306838  5.082334e-04  1.386123631  1.442991045
## 245 2020-09-01 1968.200  1.5446231334  3.047724e-04  1.450481952  1.468399067
## 246 2020-09-02 1934.400  1.2746378092 -1.716429e-02  1.443293061  1.419958753
## 247 2020-09-03 1927.600  1.2203207343 -3.513510e-03  1.450139703  1.370049248
## 248 2020-09-04 1923.900  1.1907664474 -1.918465e-03  1.403696704  1.325228548
## 249 2020-09-05 1926.175  1.2089385279  1.181876e-03  1.358708610  1.296156043
## 250 2020-09-06 1928.450  1.2271106083  1.180481e-03  1.315175421  1.278894684
## 251 2020-09-07 1930.725  1.2452826888  1.179089e-03  1.273097136  1.270491685
## 252 2020-09-08 1933.000  1.2634547692  1.177701e-03  1.232930226  1.268732456
## 253 2020-09-09 1944.700  1.3569110380  6.049613e-03  1.244683545  1.290777102
## 254 2020-09-10 1954.200  1.4327946510  4.882562e-03  1.275036962  1.326281489
## 255 2020-09-11 1937.800  1.3017963546 -8.387839e-03  1.290898377  1.320160205
## 256 2020-09-12 1942.900  1.3425336787  2.630480e-03  1.309983398  1.325753574
## 257 2020-09-13 1948.000  1.3832710029  2.623579e-03  1.332292026  1.340132931
## 258 2020-09-14 1953.100  1.4240083271  2.616714e-03  1.357824260  1.361101780
## 259 2020-09-15 1956.300  1.4495697062  1.637620e-03  1.384412108  1.383218762
## 260 2020-09-16 1960.200  1.4807211435  1.992491e-03  1.402099266  1.407594357
## 261 2020-09-17 1940.000  1.3193690104 -1.029979e-02  1.385895603  1.385538020
## 262 2020-09-18 1952.100  1.4160205784  6.233888e-03  1.402213350  1.393158660
## 263 2020-09-19 1935.133  1.2804950416 -8.687049e-03  1.393350687  1.364992755
## 264 2020-09-20 1918.167  1.1449695048 -8.763175e-03  1.359307616  1.309986943
## 265 2020-09-21 1901.200  1.0094439680 -8.840647e-03  1.300084136  1.234851199
## 266 2020-09-22 1898.600  0.9886760209 -1.366825e-03  1.234242181  1.173307404
## 267 2020-09-23 1859.900  0.6795505282 -2.037269e-02  1.119789236  1.049868185
## 268 2020-09-24 1868.300  0.7466478173  4.513958e-03  1.037971923  0.974063093
## 269 2020-09-25 1857.700  0.6619768979 -5.670624e-03  0.930251397  0.896041545
## 270 2020-09-26 1862.733  0.7021821608  2.708004e-03  0.847635271  0.847576699
## 271 2020-09-27 1867.767  0.7423874237  2.700690e-03  0.790123545  0.821279380
## 272 2020-09-28 1872.800  0.7825926866  2.693416e-03  0.757716219  0.811607707
## 273 2020-09-29 1894.300  0.9543292845  1.147401e-02  0.752809543  0.847288101
## 274 2020-09-30 1887.500  0.9000122017 -3.587848e-03  0.784304067  0.860469126
## 275 2020-10-01 1908.400  1.0669563420  1.106700e-02  0.830062428  0.912090930
## 276 2020-10-02 1900.200  1.0014562192 -4.294581e-03  0.878559474  0.934432252
## 277 2020-10-03 1904.300  1.0342061195  2.156541e-03  0.925991468  0.959375719
## 278 2020-10-04 1908.400  1.0669560198  2.151901e-03  0.972358410  0.986270794
## 279 2020-10-05 1912.500  1.0997059201  2.147280e-03  1.017660301  1.014629576
## 280 2020-10-06 1901.100  1.0086453928 -5.957682e-03  1.025419745  1.013133530
## 281 2020-10-07 1883.600  0.8688597899 -9.200358e-03  1.020969400  0.977065095
## 282 2020-10-08 1888.600  0.9087985336  2.653083e-03  0.998375428  0.959998455
## 283 2020-10-09 1919.500  1.1556201613  1.635268e-02  1.020398848  1.008903881
## 284 2020-10-10 1920.500  1.1636079100  5.206977e-04  1.038884818  1.047579888
## 285 2020-10-11 1921.500  1.1715956587  5.204267e-04  1.053833338  1.078583831
## 286 2020-10-12 1922.500  1.1795834075  5.201560e-04  1.065244408  1.103833725
## 287 2020-10-13 1888.500  0.9079999504 -1.767611e-02  1.050866487  1.054875281
## 288 2020-10-14 1901.300  1.0102435256  6.774305e-03  1.071064164  1.043717342
## 289 2020-10-15 1903.200  1.0254194654  9.987394e-04  1.087724297  1.039142873
## 290 2020-10-16 1900.800  1.0062496513 -1.260320e-03  1.066385653  1.030919568
## 291 2020-10-17 1902.667  1.0211600490  9.815219e-04  1.046035958  1.028479688
## 292 2020-10-18 1904.533  1.0360704468  9.805594e-04  1.026675214  1.030377378
## 293 2020-10-19 1906.400  1.0509808445  9.795989e-04  1.008303419  1.035528244
## 294 2020-10-20 1910.400  1.0829318394  2.097095e-03  1.033293689  1.047379143
## 295 2020-10-21 1924.600  1.1963574881  7.429084e-03  1.059881398  1.084623729
## 296 2020-10-22 1901.100  1.0086453928 -1.220399e-02  1.057485102  1.065629145
## 297 2020-10-23 1902.000  1.0158345583  4.731739e-04  1.058854374  1.053180499
## 298 2020-10-24 1902.233  1.0176982359  1.226048e-04  1.058359829  1.044309933
## 299 2020-10-25 1902.467  1.0195619135  1.225898e-04  1.056001468  1.038122928
## 300 2020-10-26 1902.700  1.0214255911  1.225748e-04  1.051779288  1.033948594
## 301 2020-10-27 1908.800  1.0701516412  3.204338e-03  1.049953546  1.042999356
## 302 2020-10-28 1876.200  0.8097502495 -1.706990e-02  0.994723940  0.984687079
## 303 2020-10-29 1865.600  0.7250803126 -5.646695e-03  0.954214643  0.919785387
## 304 2020-10-30 1877.400  0.8193361311  6.321680e-03  0.926143439  0.894673073
## 305 2020-10-31 1881.733  0.8539497090  2.306928e-03  0.902750793  0.884492232
## 306 2020-11-01 1886.067  0.8885632868  2.301618e-03  0.884036703  0.885509996
## 307 2020-11-02 1890.400  0.9231768647  2.296333e-03  0.870001171  0.894926713
## 308 2020-11-03 1908.500  1.0677549251  9.569618e-03  0.869658783  0.938133766
## 309 2020-11-04 1894.600  0.9567250260 -7.279405e-03  0.890655179  0.942781581
## 310 2020-11-05 1945.300  1.3617044701  2.674619e-02  0.981601488  1.047512303
## 311 2020-11-06 1950.300  1.4016432138  2.568977e-03  1.064788214  1.136045031
## 312 2020-11-07 1917.933  1.1431061520 -1.658725e-02  1.106096277  1.137810311
## 313 2020-11-08 1885.567  0.8845690903 -1.686703e-02  1.105525677  1.074500006
## 314 2020-11-09 1853.200  0.6260320286 -1.715640e-02  1.063076415  0.962383012
## 315 2020-11-10 1875.400  0.8033606336  1.197286e-02  1.025305802  0.922627417
## 316 2020-11-11 1860.700  0.6859401441 -7.834189e-03  0.986622247  0.863455599
## 317 2020-11-12 1872.600  0.7809945538  6.392021e-03  0.903663688  0.842840338
## 318 2020-11-13 1885.700  0.8856338625  6.991874e-03  0.829948066  0.853538719
## 319 2020-11-14 1886.233  0.8898942561  2.826978e-04  0.793774938  0.862627603
## 320 2020-11-15 1886.767  0.8941546497  2.826179e-04  0.795144304  0.870509365
## 321 2020-11-16 1887.300  0.8984150433  2.825381e-04  0.834056163  0.877485784
## 322 2020-11-17 1884.500  0.8760489554 -1.482841e-03  0.844440209  0.877126577
## 323 2020-11-18 1873.500  0.7881837193 -5.833996e-03  0.859046434  0.854890863
## 324 2020-11-19 1861.100  0.6891354433 -6.615110e-03  0.845923704  0.813452008
## 325 2020-11-20 1872.600  0.7809945538  6.175823e-03  0.830975232  0.805337644
## 326 2020-11-21 1861.000  0.6883368628 -6.191277e-03  0.802181318  0.776087449
## 327 2020-11-22 1849.400  0.5956791718 -6.229847e-03  0.759541964  0.730985380
## 328 2020-11-23 1837.800  0.5030214808 -6.268902e-03  0.703057170  0.673994405
## 329 2020-11-24 1804.800  0.2394257725 -1.794649e-02  0.612111001  0.565352247
## 330 2020-11-25 1805.700  0.2466139635  4.983398e-04  0.534743893  0.485667676
## 331 2020-11-26 1799.700  0.1986874711 -3.320972e-03  0.464679897  0.413922625
## 332 2020-11-27 1793.700  0.1507609787 -3.332038e-03  0.374646529  0.348132213
## 333 2020-11-28 1787.700  0.1028344862 -3.343177e-03  0.291003332  0.286807781
## 334 2020-11-29 1781.700  0.0549079938 -3.354392e-03  0.213750307  0.228832835
## 335 2020-11-30 1775.700  0.0069815014 -3.365681e-03  0.142887452  0.173370001
## 336 2020-12-01 1814.100  0.3137112526  2.161312e-02  0.153499664  0.208455314
## 337 2020-12-02 1825.700  0.4063689383  6.390819e-03  0.176321803  0.257933720
## 338 2020-12-03 1836.800  0.4950337321  6.076585e-03  0.218656983  0.317208723
## 339 2020-12-04 1835.900  0.4878445585 -4.897296e-04  0.266811780  0.359867682
## 340 2020-12-05 1844.533  0.5568055225  4.699952e-03  0.331664786  0.409102142
## 341 2020-12-06 1853.167  0.6257664865  4.677966e-03  0.413215999  0.463268228
## 342 2020-12-07 1861.800  0.6947274505  4.656184e-03  0.511465420  0.521133034
## 343 2020-12-08 1870.800  0.7666171891  4.831436e-03  0.576166268  0.582504073
## 344 2020-12-09 1834.600  0.4774601017 -1.933971e-02  0.586322149  0.556243080
## 345 2020-12-10 1833.600  0.4694723530 -5.447810e-04  0.582670523  0.534550398
## 346 2020-12-11 1839.800  0.5189969783  3.379523e-03  0.587120869  0.530662043
## 347 2020-12-12 1836.100  0.4894420470 -2.010013e-03  0.577497515  0.520357044
## 348 2020-12-13 1832.400  0.4598871157 -2.014062e-03  0.553800462  0.505239562
## 349 2020-12-14 1828.700  0.4303321845 -2.018126e-03  0.516029710  0.486512718
## 350 2020-12-15 1852.300  0.6188438375  1.289834e-02  0.494919231  0.519595498
## 351 2020-12-16 1856.100  0.6491966996  2.050357e-03  0.519453031  0.551995798
## 352 2020-12-17 1887.200  0.8976154856  1.674653e-02  0.580616335  0.638400720
## 353 2020-12-18 1885.700  0.8856338625 -7.944074e-04  0.632993033  0.700209006
## 354 2020-12-19 1883.533  0.8683270736 -1.148390e-03  0.687119466  0.742238523
## 355 2020-12-20 1881.367  0.8510202847 -1.149710e-03  0.742995633  0.769433963
## 356 2020-12-21 1879.200  0.8337134957 -1.151033e-03  0.800621534  0.785503846
## 357 2020-12-22 1866.600  0.7330680613 -6.701402e-03  0.816939280  0.772394900
## 358 2020-12-23 1874.700  0.7977686264  4.337104e-03  0.838163841  0.778738332
## 359 2020-12-24 1875.200  0.8017625008  2.665672e-04  0.824470558  0.784494374
## 360 2020-12-25 1875.700  0.8057563751  2.664961e-04  0.813059488  0.789809874
## 361 2020-12-26 1876.200  0.8097502495  2.664251e-04  0.804691371  0.794794968
## 362 2020-12-27 1876.700  0.8137441239  2.663542e-04  0.799366205  0.799532257
## 363 2020-12-28 1877.200  0.8177379983  2.662832e-04  0.797083991  0.804083692
## 364 2020-12-29 1879.700  0.8377073701  1.331062e-03  0.812032463  0.812489612
## 365 2020-12-30 1891.000  0.9279693222  6.008427e-03  0.830632563  0.841359539
## 366 2020-12-31 1893.100  0.9447434029  1.109924e-03  0.851058406  0.867205505
## 367 2021-01-01 1906.000  1.0477853117  6.810619e-03  0.885633968  0.912350457
## 368 2021-01-02 1918.900  1.1508272205  6.764548e-03  0.934359250  0.971969648
## 369 2021-01-03 1931.800  1.2538691293  6.719097e-03  0.997234251  1.042444518
## 370 2021-01-04 1944.700  1.3569110380  6.674252e-03  1.074258971  1.121061148
## 371 2021-01-05 1952.700  1.4208130279  4.111631e-03  1.157559779  1.195999118
## 372 2021-01-06 1906.900  1.0549747189 -2.344266e-02  1.175703407  1.160743018
## 373 2021-01-07 1912.300  1.0981087617  2.830350e-03  1.197612744  1.145084454
## 374 2021-01-08 1834.100  0.4734662274 -4.087183e-02  1.115567161  0.977179897
## 375 2021-01-09 1839.267  0.5147362625  2.815469e-03  1.024697024  0.861568989
## 376 2021-01-10 1844.433  0.5560062976  2.807564e-03  0.925002333  0.785178316
## 377 2021-01-11 1849.600  0.5972763328  2.799704e-03  0.816483090  0.738202820
## 378 2021-01-12 1842.900  0.5437587997 -3.620422e-03  0.691189629  0.689591815
## 379 2021-01-13 1853.600  0.6292273277  5.802892e-03  0.630368573  0.674500693
## 380 2021-01-14 1850.300  0.6028683400 -1.779320e-03  0.559619941  0.656592605
## 381 2021-01-15 1829.300  0.4351256165 -1.134338e-02  0.554142711  0.601225858
## 382 2021-01-16 1831.850  0.4554942780  1.393207e-03  0.545679570  0.564792963
## 383 2021-01-17 1834.400  0.4758629394  1.391269e-03  0.534230519  0.542560457
## 384 2021-01-18 1836.950  0.4962316008  1.389336e-03  0.519795557  0.530978243
## 385 2021-01-19 1839.500  0.5166002622  1.387409e-03  0.515915766  0.527383748
## 386 2021-01-20 1865.900  0.7274770206  1.434394e-02  0.529951437  0.577407066
## 387 2021-01-21 1865.300  0.7226845711 -3.213750e-04  0.547068041  0.613726442
## 388 2021-01-22 1855.700  0.6460014004 -5.143920e-03  0.577193153  0.621795182
## 389 2021-01-23 1855.433  0.6438715284 -1.436109e-04  0.604104189  0.627314268
## 390 2021-01-24 1855.167  0.6417416565 -1.436315e-04  0.627801149  0.630921115
## 391 2021-01-25 1854.900  0.6396117845 -1.436522e-04  0.648284032  0.633093783
## 392 2021-01-26 1850.700  0.6060626567 -2.263092e-03  0.661064374  0.626336001
## 393 2021-01-27 1844.900  0.5597342971 -3.132218e-03  0.637101128  0.609685575
## 394 2021-01-28 1837.900  0.5038200560 -3.792188e-03  0.605834769  0.583219195
## 395 2021-01-29 1847.300  0.5789050938  5.111765e-03  0.596249582  0.582140670
## 396 2021-01-30 1851.800  0.6148499631  2.434670e-03  0.592103644  0.590317993
## 397 2021-01-31 1856.300  0.6507948324  2.428756e-03  0.593396955  0.605437203
## 398 2021-02-01 1860.800  0.6867397018  2.422872e-03  0.600129514  0.625762828
## 399 2021-02-02 1830.500  0.4447105236 -1.627460e-02  0.577079210  0.580499752
## 400 2021-02-03 1832.200  0.4582893051  9.281742e-04  0.562587068  0.549947140
## 401 2021-02-04 1788.900  0.1124203678 -2.361986e-02  0.506672827  0.440565447
## 402 2021-02-05 1810.900  0.2881508401  1.229119e-02  0.465136505  0.402461795
## 403 2021-02-06 1817.900  0.3440650812  3.863348e-03  0.426452950  0.387862617
## 404 2021-02-07 1824.900  0.3999793224  3.848480e-03  0.390622163  0.390891793
## 405 2021-02-08 1831.900  0.4558935635  3.833726e-03  0.357644143  0.407142236
## 406 2021-02-09 1835.300  0.4830521090  1.854998e-03  0.363121513  0.426119704
## 407 2021-02-10 1840.600  0.5253865942  2.886199e-03  0.372706840  0.450936427
## 408 2021-02-11 1824.900  0.3999793224 -8.525170e-03  0.413786690  0.438197151
## 409 2021-02-12 1821.600  0.3736193681 -1.807354e-03  0.425996480  0.422052705
## 410 2021-02-13 1815.500  0.3248940509 -3.346871e-03  0.423257761  0.397763041
## 411 2021-02-14 1809.400  0.2761687337 -3.358110e-03  0.405570535  0.367364464
## 412 2021-02-15 1803.300  0.2274434165 -3.369425e-03  0.372934799  0.332384202
## 413 2021-02-16 1797.200  0.1787180993 -3.380816e-03  0.329458512  0.293967677
## 414 2021-02-17 1771.100 -0.0297619431 -1.451450e-02  0.250151578  0.213035272
## 415 2021-02-18 1773.400 -0.0113897376  1.297922e-03  0.191384570  0.156929019
## 416 2021-02-19 1775.800  0.0077810591  1.352584e-03  0.139121954  0.119642029
## 417 2021-02-20 1786.100  0.0900546101  5.796920e-03  0.105573463  0.112245175
## 418 2021-02-21 1796.400  0.1723281612  5.763509e-03  0.090739095  0.127265921
## 419 2021-02-22 1806.700  0.2546017123  5.730481e-03  0.094618852  0.159099869
## 420 2021-02-23 1804.400  0.2362304733 -1.272295e-03  0.102834905  0.178382520
## 421 2021-02-24 1796.400  0.1723284834 -4.431151e-03  0.131704966  0.176869011
## 422 2021-02-25 1774.400 -0.0034019889 -1.223990e-02  0.132846073  0.131801261
## 423 2021-02-26 1728.100 -0.3732351388 -2.607866e-02  0.078415188  0.005542161
## 424 2021-02-27 1726.233 -0.3881455392 -1.079555e-03  0.010100880 -0.092879764
## 425 2021-02-28 1724.367 -0.4030559396 -1.080722e-03 -0.072096848 -0.170423808
## 426 2021-03-01 1722.500 -0.4179663400 -1.081891e-03 -0.168177999 -0.232309441
## 427 2021-03-02 1733.100 -0.3332963951  6.150262e-03 -0.249538980 -0.257556180
## 428 2021-03-03 1715.300 -0.4754777396 -1.026465e-02 -0.342082726 -0.312036570
## 429 2021-03-04 1700.200 -0.5960935283 -8.798053e-03 -0.426752946 -0.383050809
## 430 2021-03-05 1698.000 -0.6136661841 -1.293176e-03 -0.461100238 -0.440704653
## 431 2021-03-06 1691.233 -0.6677167477 -3.982745e-03 -0.501038982 -0.497457677
## 432 2021-03-07 1684.467 -0.7217673113 -3.998670e-03 -0.546569178 -0.553535085
## 433 2021-03-08 1677.700 -0.7758178749 -4.014724e-03 -0.597690826 -0.609105783
## 434 2021-03-09 1716.600 -0.4650942493  2.317271e-02 -0.616519091 -0.573102899
## 435 2021-03-10 1721.500 -0.4259540888  2.852832e-03 -0.609444283 -0.536315697
## 436 2021-03-11 1722.300 -0.4195634984  4.644697e-04 -0.584225708 -0.507127647
## 437 2021-03-12 1719.500 -0.4419295863 -1.624818e-03 -0.559691908 -0.490828132
## 438 2021-03-13 1722.633 -0.4169012430  1.821181e-03 -0.523861122 -0.472346410
## 439 2021-03-14 1725.767 -0.3918728997  1.817870e-03 -0.476733349 -0.452228032
## 440 2021-03-15 1728.900 -0.3668445564  1.814571e-03 -0.418308589 -0.430882163
## 441 2021-03-16 1730.600 -0.3532657670  9.826880e-04 -0.402333091 -0.411478064
## 442 2021-03-17 1726.800 -0.3836186291 -2.194460e-03 -0.396285169 -0.404513205
## 443 2021-03-18 1732.200 -0.3404855687  3.125305e-03 -0.384988321 -0.388506296
## 444 2021-03-19 1741.400 -0.2669976972  5.308143e-03 -0.359998052 -0.358129146
## 445 2021-03-20 1740.200 -0.2765829291 -6.887004e-04 -0.339952578 -0.337742592
## 446 2021-03-21 1739.000 -0.2861681610 -6.891751e-04 -0.324851901 -0.324848984
## 447 2021-03-22 1737.800 -0.2957533930 -6.896504e-04 -0.314696021 -0.317575087
## 448 2021-03-23 1724.700 -0.4003936842 -7.533988e-03 -0.321428580 -0.338279736
## 449 2021-03-24 1732.900 -0.3348935615  4.751737e-03 -0.314467856 -0.337433192
## 450 2021-03-25 1724.900 -0.3987955514 -4.613876e-03 -0.322797854 -0.352773782
## 451 2021-03-26 1732.200 -0.3404855687  4.229635e-03 -0.333296121 -0.349701729
## 452 2021-03-27 1725.500 -0.3940034187 -3.865677e-03 -0.350070477 -0.360777151
## 453 2021-03-28 1718.800 -0.4475212686 -3.880679e-03 -0.373120921 -0.382463181
## 454 2021-03-29 1712.100 -0.5010391186 -3.895797e-03 -0.402447453 -0.412107165
## 455 2021-03-30 1683.900 -0.7262932496 -1.646136e-02 -0.449004534 -0.490653686
## 456 2021-03-31 1713.800 -0.4874593627  1.774587e-02 -0.470799648 -0.489855105
## 457 2021-04-01 1726.500 -0.3860153451  7.406083e-03 -0.468973905 -0.463895165
## 458 2021-04-02 1726.625 -0.3850168765  7.235890e-05 -0.475335520 -0.444175593
## 459 2021-04-03 1726.750 -0.3840184079  7.235366e-05 -0.473909090 -0.429136297
## 460 2021-04-04 1726.875 -0.3830199393  7.234843e-05 -0.464694614 -0.417607207
## 461 2021-04-05 1727.000 -0.3820214707  7.234320e-05 -0.447692093 -0.408710773
## 462 2021-04-06 1741.500 -0.2661991140  8.391204e-03 -0.381964359 -0.373082858
## 463 2021-04-07 1740.100 -0.2773821540 -8.034571e-04 -0.351953330 -0.349157682
## 464 2021-04-08 1756.800 -0.1439861669  9.591680e-03 -0.317377733 -0.297864803
## 465 2021-04-09 1743.300 -0.2518207749 -7.680054e-03 -0.298349718 -0.286353796
## 466 2021-04-10 1739.267 -0.2840382891 -2.312312e-03 -0.284066844 -0.285774920
## 467 2021-04-11 1735.233 -0.3162558033 -2.317671e-03 -0.274529110 -0.293395140
## 468 2021-04-12 1731.200 -0.3484733174 -2.323055e-03 -0.269736517 -0.307164685
## 469 2021-04-13 1746.200 -0.2286570864  8.659508e-03 -0.264373370 -0.287537785
## 470 2021-04-14 1734.900 -0.3189180640 -6.467449e-03 -0.270307072 -0.295382855
## 471 2021-04-15 1765.400 -0.0752917275  1.757014e-02 -0.260493580 -0.240360073
## 472 2021-04-16 1779.000  0.0333414636  7.699262e-03 -0.219756118 -0.171934689
## 473 2021-04-17 1775.800  0.0077807316 -1.797748e-03 -0.178067686 -0.127005834
## 474 2021-04-18 1772.600 -0.0177800005 -1.800986e-03 -0.135428286 -0.099699375
## 475 2021-04-19 1769.400 -0.0433407325 -1.804235e-03 -0.091837917 -0.085609715
## 476 2021-04-20 1777.300  0.0197626822  4.462282e-03 -0.056349378 -0.059266615
## 477 2021-04-21 1792.300  0.1395789132  8.435022e-03  0.009150190 -0.009555233
## 478 2021-04-22 1781.200  0.0509141194 -6.189761e-03  0.027179597  0.005562105
## 479 2021-04-23 1777.000  0.0173659662 -2.356610e-03  0.024897383  0.008513070
## 480 2021-04-24 1777.733  0.0232235181  4.124393e-04  0.027103495  0.012190682
## 481 2021-04-25 1778.467  0.0290810700  4.122692e-04  0.033797934  0.016413279
## 482 2021-04-26 1779.200  0.0349386220  4.120993e-04  0.044980699  0.021044615
## 483 2021-04-27 1778.000  0.0253537149 -6.740541e-04  0.045779418  0.022121890
## 484 2021-04-28 1773.200 -0.0129878705 -2.698173e-03  0.023984163  0.013344450
## 485 2021-04-29 1768.100 -0.0537251893 -2.874521e-03  0.009035690 -0.003422960
## 486 2021-04-30 1767.300 -0.0601148052 -4.521661e-04 -0.002032991 -0.017595921
## 
## [[6]]
##          Date     大盤     大盤_std      大盤_ROC     大盤_7MA    大盤_7EMA
## 1  2021-04-01 16571.28 -0.480558499            NA -0.480558499 -0.480558499
## 2  2021-04-02 16611.96 -0.405053857  2.454702e-03 -0.442806178 -0.461682339
## 3  2021-04-03 16652.64 -0.329549215  2.448691e-03 -0.405053857 -0.428649058
## 4  2021-04-04 16693.32 -0.254044554  2.442711e-03 -0.367301531 -0.384997932
## 5  2021-04-05 16734.00 -0.178539912  2.436758e-03 -0.329549207 -0.333383427
## 6  2021-04-06 16774.68 -0.103035270  2.430834e-03 -0.291796884 -0.275796388
## 7  2021-04-07 16815.36 -0.027530609  2.424940e-03 -0.254044559 -0.213729943
## 8  2021-04-08 16926.44  0.178640947  6.605477e-03 -0.159873210 -0.115637220
## 9  2021-04-09 16854.10  0.044373681 -4.273525e-03 -0.095669276 -0.075634495
## 10 2021-04-10 16855.97  0.047838096  1.107404e-04 -0.041756803 -0.044766347
## 11 2021-04-11 16857.83  0.051302492  1.107275e-04  0.001864204 -0.020749138
## 12 2021-04-12 16859.70  0.054766907  1.107159e-04  0.035193749 -0.001870126
## 13 2021-04-13 16824.91 -0.009803764 -2.063322e-03  0.048512536 -0.003853536
## 14 2021-04-14 16865.97  0.066407166  2.440316e-03  0.061932218  0.013711640
## 15 2021-04-15 17076.73  0.457590478  1.249541e-02  0.101782151  0.124681349
## 16 2021-04-16 17158.81  0.609936239  4.806264e-03  0.182576802  0.245995071
## 17 2021-04-17 17193.63  0.674569737  2.029330e-03  0.272109893  0.353138738
## 18 2021-04-18 17228.46  0.739203254  2.025220e-03  0.370381431  0.449654867
## 19 2021-04-19 17263.28  0.803836771  2.021127e-03  0.477391411  0.538200343
## 20 2021-04-20 17323.87  0.916295303  3.509549e-03  0.609691278  0.632724083
## 21 2021-04-21 17202.11  0.690301575 -7.028033e-03  0.698819051  0.647118456
## 22 2021-04-22 17096.97  0.495157610 -6.111609e-03  0.704185784  0.609128244
## 23 2021-04-23 17300.27  0.872492951  1.189023e-02  0.741693886  0.674969421
## 24 2021-04-24 17390.94  1.040788043  5.240840e-03  0.794010787  0.766424076
## 25 2021-04-25 17481.62  1.209083134  5.213516e-03  0.861136484  0.877088841
## 26 2021-04-26 17572.29  1.377378208  5.186476e-03  0.943070975  1.002161183
## 27 2021-04-27 17595.90  1.421202313  1.343592e-03  1.015200548  1.106921465
## 28 2021-04-28 17567.53  1.368543795 -1.612278e-03  1.112092293  1.172327048
## 29 2021-04-29 17566.66  1.366930617 -4.947141e-05  1.236631294  1.220977940
## 30 2021-04-30 17480.58  1.207165135 -4.899778e-03  1.284441606  1.217524739
## 31 2021-05-01 17394.50  1.047399653 -4.923904e-03  1.285386122  1.174993467
## 32 2021-05-02 17308.43  0.887634189 -4.948269e-03  1.239464844  1.103153648
## 33 2021-05-03 17222.35  0.727868707 -4.972876e-03  1.146677773  1.009332413
## 34 2021-05-04 16933.78  0.192264168 -1.675460e-02  0.971115181  0.805065351
## 35 2021-05-05 16843.44  0.024587757 -5.334575e-03  0.779121461  0.609945953
## 36 2021-05-06 16994.36  0.304704584  8.959629e-03  0.627374885  0.533635611
## 37 2021-05-07 17285.00  0.844151748  1.710118e-02  0.575515829  0.611264645
## 38 2021-05-08 17268.54  0.813594389 -9.524205e-04  0.542115077  0.661847081
## 39 2021-05-09 17252.07  0.783037029 -9.533284e-04  0.527172626  0.692144568
## 40 2021-05-10 17235.61  0.752479669 -9.542381e-04  0.530688478  0.707228343
## 41 2021-05-11 16583.13 -0.458561263 -3.785423e-02  0.437713416  0.415780942
## 42 2021-05-12 15902.37 -1.722095764 -4.104892e-02  0.188187199 -0.118688235
## 43 2021-05-13 15670.10 -2.153204354 -1.460511e-02 -0.162942649 -0.627317265
## 44 2021-05-14 15827.09 -1.861820671  1.001782e-02 -0.549510138 -0.935943116
## 45 2021-05-15 15669.36 -2.154583706 -9.965409e-03 -0.973535580 -1.240603263
## 46 2021-05-16 15511.62 -2.447346759 -1.006572e-02 -1.435018978 -1.542289137
## 47 2021-05-17 15353.89 -2.740109812 -1.016807e-02 -1.933960333 -1.841744306
## 48 2021-05-18 16145.98 -1.269939721  5.158558e-02 -2.049871541 -1.698793160
## 49 2021-05-19 16132.66 -1.294663050 -8.249412e-04 -1.988809725 -1.597760632
## 50 2021-05-20 16042.36 -1.462265143 -5.596982e-03 -1.890104123 -1.563886760
## 51 2021-05-21 16302.06 -0.980247152  1.618733e-02 -1.764165049 -1.417976858
## 52 2021-05-22 16314.14 -0.957831819  7.407702e-04 -1.593200494 -1.302940598
## 53 2021-05-23 16326.21 -0.935416468  7.402224e-04 -1.377210452 -1.211059566
## 54 2021-05-24 16338.29 -0.913001135  7.396743e-04 -1.116194927 -1.136544958
## 55 2021-05-25 16595.67 -0.435287983  1.575221e-02 -0.996958964 -0.961230714
## 56 2021-05-26 16643.69 -0.346160733  2.893323e-03 -0.861458633 -0.807463219
## 57 2021-05-27 16601.61 -0.424263974 -2.528138e-03 -0.713172752 -0.711663408
## 58 2021-05-28 16870.86  0.075480862  1.621733e-02 -0.562354464 -0.514877340
## 59 2021-05-29 16936.72  0.197715145  3.903350e-03 -0.397276327 -0.336729219
## 60 2021-05-30 17002.57  0.319949428  3.888173e-03 -0.217938342 -0.172559557
## 61 2021-05-31 17068.43  0.442183711  3.873114e-03 -0.024340507 -0.018873740
## 62 2021-06-01 17162.38  0.616562957  5.504060e-03  0.125923914  0.139985434
## 63 2021-06-02 17165.04  0.621496743  1.548762e-04  0.264160696  0.260363261
## 
## [[7]]
##           Date    SP500    SP500_std     SP500_ROC     SP500_7MA   SP500_7EMA
## 1   2020-01-01 3244.315 -0.357558207            NA -0.3575582073 -0.357558207
## 2   2020-01-02 3257.850 -0.325244665  4.170628e-03 -0.3414014362 -0.349479822
## 3   2020-01-03 3234.850 -0.380155006 -7.057704e-03 -0.3543192929 -0.357148618
## 4   2020-01-04 3238.660 -0.371058989  1.177434e-03 -0.3585042170 -0.360626211
## 5   2020-01-05 3242.470 -0.361962972  1.176049e-03 -0.3591959679 -0.360960401
## 6   2020-01-06 3246.280 -0.352866954  1.174668e-03 -0.3581411323 -0.358937039
## 7   2020-01-07 3237.180 -0.374592350 -2.802345e-03 -0.3604913063 -0.362850867
## 8   2020-01-08 3253.050 -0.336704215  4.900901e-03 -0.3575121644 -0.356314204
## 9   2020-01-09 3274.700 -0.285016872  6.653247e-03 -0.3517653368 -0.338489871
## 10  2020-01-10 3265.350 -0.307339119 -2.854352e-03 -0.3413630672 -0.330702183
## 11  2020-01-11 3272.943 -0.289210749  2.324715e-03 -0.3296704615 -0.320329324
## 12  2020-01-12 3280.537 -0.271082377  2.319324e-03 -0.3166875194 -0.308017588
## 13  2020-01-13 3288.130 -0.252954007  2.313956e-03 -0.3024142413 -0.294251693
## 14  2020-01-14 3283.150 -0.264843290 -1.514078e-03 -0.2867358041 -0.286899592
## 15  2020-01-15 3289.290 -0.250184616  1.869586e-03 -0.2743758614 -0.277720848
## 16  2020-01-16 3316.810 -0.184483199  8.364004e-03 -0.2600139082 -0.254411436
## 17  2020-01-17 3329.620 -0.153900526  3.860981e-03 -0.2380941092 -0.229283708
## 18  2020-01-18 3327.412 -0.159170725 -6.627895e-04 -0.2195169630 -0.211755463
## 19  2020-01-19 3325.205 -0.164440924 -6.632291e-04 -0.2042824697 -0.199926828
## 20  2020-01-20 3322.997 -0.169711124 -6.636693e-04 -0.1923906292 -0.192372902
## 21  2020-01-21 3320.790 -0.174981323 -6.641100e-04 -0.1795532053 -0.188025007
## 22  2020-01-22 3321.750 -0.172689413  2.890008e-04 -0.1684824620 -0.184191108
## 23  2020-01-23 3325.540 -0.163641143  1.140621e-03 -0.1655050255 -0.179053617
## 24  2020-01-24 3295.470 -0.235430446 -9.039422e-03 -0.1771521569 -0.193147824
## 25  2020-01-25 3278.190 -0.276684824 -5.241971e-03 -0.1939398853 -0.214032074
## 26  2020-01-26 3260.910 -0.317939202 -5.269594e-03 -0.2158682107 -0.240008856
## 27  2020-01-27 3243.630 -0.359193580 -5.297510e-03 -0.2429371331 -0.269805037
## 28  2020-01-28 3276.240 -0.281340266  1.005045e-02 -0.2581312679 -0.272688845
## 29  2020-01-29 3273.400 -0.288120500 -8.665829e-04 -0.2746214232 -0.276546758
## 30  2020-01-30 3283.660 -0.263625713  3.133398e-03 -0.2889049331 -0.273316497
## 31  2020-01-31 3225.520 -0.402429506 -1.770046e-02 -0.3127619416 -0.305594749
## 32  2020-02-01 3233.320 -0.383807738  2.417465e-03 -0.3280652150 -0.325147996
## 33  2020-02-02 3241.120 -0.365185970  2.411635e-03 -0.3348147532 -0.335157490
## 34  2020-02-03 3248.920 -0.346564202  2.405833e-03 -0.3330105563 -0.338009168
## 35  2020-02-04 3297.590 -0.230369145  1.497575e-02 -0.3257289675 -0.311099162
## 36  2020-02-05 3334.690 -0.141796377  1.124723e-02 -0.3048255215 -0.268773466
## 37  2020-02-06 3345.780 -0.115320043  3.324649e-03 -0.2836389973 -0.230410110
## 38  2020-02-07 3327.710 -0.158460472 -5.399220e-03 -0.2487862782 -0.212422701
## 39  2020-02-08 3335.837 -0.139058817  2.441386e-03 -0.2138221467 -0.194081730
## 40  2020-02-09 3343.963 -0.119657165  2.435440e-03 -0.1787466031 -0.175475589
## 41  2020-02-10 3352.090 -0.100255510  2.429523e-03 -0.1435596472 -0.156670569
## 42  2020-02-11 3357.750 -0.086742792  1.687995e-03 -0.1230415967 -0.139188625
## 43  2020-02-12 3379.450 -0.034936078  6.460737e-03 -0.1077758397 -0.113125488
## 44  2020-02-13 3373.940 -0.048090686 -1.629961e-03 -0.0981716458 -0.096866788
## 45  2020-02-14 3380.160 -0.033241020  1.842996e-03 -0.0802831527 -0.080960346
## 46  2020-02-15 3377.693 -0.039131945 -7.297791e-04 -0.0660078851 -0.070503245
## 47  2020-02-16 3375.225 -0.045022869 -7.303121e-04 -0.0553458429 -0.064133151
## 48  2020-02-17 3372.758 -0.050913794 -7.308458e-04 -0.0482970262 -0.060828312
## 49  2020-02-18 3370.290 -0.056804719 -7.313804e-04 -0.0440201587 -0.059822414
## 50  2020-02-19 3386.150 -0.018940457  4.704431e-03 -0.0417350699 -0.049601925
## 51  2020-02-20 3373.230 -0.049785745 -3.814416e-03 -0.0419772211 -0.049647880
## 52  2020-02-21 3337.750 -0.134490914 -1.051499e-02 -0.0564414918 -0.070858638
## 53  2020-02-22 3300.463 -0.223509332 -1.116785e-02 -0.0827811186 -0.109021312
## 54  2020-02-23 3263.177 -0.312527748 -1.129398e-02 -0.1209961012 -0.159897921
## 55  2020-02-24 3225.890 -0.401546165 -1.142299e-02 -0.1710864400 -0.220309982
## 56  2020-02-25 3128.210 -0.634747997 -3.027063e-02 -0.2536497655 -0.323919486
## 57  2020-02-26 3116.390 -0.662967138 -3.777311e-03 -0.3456535771 -0.408681399
## 58  2020-02-27 2978.760 -0.991545845 -4.414911e-02 -0.4801907343 -0.554397510
## 59  2020-02-28 2954.220 -1.050132792 -8.235563e-03 -0.6109967168 -0.678331331
## 60  2020-02-29 2999.557 -0.941895755  1.534122e-02 -0.7136233486 -0.744222437
## 61  2020-03-01 3044.893 -0.833658720  1.510942e-02 -0.7880706304 -0.766581508
## 62  2020-03-02 3090.230 -0.725421683  1.488452e-02 -0.8343385614 -0.756291551
## 63  2020-03-03 3003.370 -0.932791780 -2.809885e-02 -0.8769162447 -0.800416609
## 64  2020-03-04 3130.120 -0.630188052  4.218855e-02 -0.8722335180 -0.757859469
## 65  2020-03-05 3023.940 -0.883682836 -3.391119e-02 -0.8568245167 -0.789315311
## 66  2020-03-06 2972.370 -1.006801371 -1.704827e-02 -0.8506343136 -0.843686826
## 67  2020-03-07 2897.100 -1.186501431 -2.531471e-02 -0.8855779816 -0.929390477
## 68  2020-03-08 2821.830 -1.366201491 -2.597219e-02 -0.9616555204 -1.038593231
## 69  2020-03-09 2746.560 -1.545901551 -2.666473e-02 -1.0788669302 -1.165420311
## 70  2020-03-10 2882.230 -1.222002160  4.937836e-02 -1.1201826988 -1.179565773
## 71  2020-03-11 2741.380 -1.558268315 -4.885146e-02 -1.2527655936 -1.274241409
## 72  2020-03-12 2480.640 -2.180760593 -9.507800e-02 -1.4380624160 -1.500871205
## 73  2020-03-13 2711.020 -1.630749966  9.283377e-02 -1.5271979296 -1.533340895
## 74  2020-03-14 2602.723 -1.889298094 -3.993210e-02 -1.6275974528 -1.622330195
## 75  2020-03-15 2494.427 -2.147846219 -4.159300e-02 -1.7392609854 -1.753709201
## 76  2020-03-16 2386.130 -2.406394347 -4.339806e-02 -1.8621885277 -1.916880487
## 77  2020-03-17 2529.190 -2.064852024  5.992971e-02 -1.9825956511 -1.953873372
## 78  2020-03-18 2398.100 -2.377817096 -5.181034e-02 -2.0996740483 -2.059859303
## 79  2020-03-19 2409.390 -2.350863280  4.705931e-03 -2.1239744323 -2.132610297
## 80  2020-03-20 2304.920 -2.600275600 -4.334153e-02 -2.2624780943 -2.249526623
## 81  2020-03-21 2282.413 -2.654008155 -9.760385e-03 -2.3717223888 -2.350647006
## 82  2020-03-22 2259.907 -2.707740708 -9.856589e-03 -2.4517073157 -2.439920431
## 83  2020-03-23 2237.400 -2.761473263 -9.954709e-03 -2.5024328750 -2.520308639
## 84  2020-03-24 2447.330 -2.260285091  9.378574e-02 -2.5303518846 -2.455302752
## 85  2020-03-25 2475.560 -2.192888616  1.153031e-02 -2.5039335303 -2.389699218
## 86  2020-03-26 2630.070 -1.824010493  6.238896e-02 -2.4286688464 -2.248277037
## 87  2020-03-27 2541.470 -2.035534677 -3.367451e-02 -2.3479915717 -2.195091447
## 88  2020-03-28 2569.863 -1.967748259  1.116762e-02 -2.2499544438 -2.138255650
## 89  2020-03-29 2598.257 -1.899961839  1.104428e-02 -2.1345574626 -2.078682197
## 90  2020-03-30 2626.650 -1.832175422  1.092364e-02 -2.0018006283 -2.017055503
## 91  2020-03-31 2584.590 -1.932589724 -1.600670e-02 -1.9549870044 -1.995939059
## 92  2020-04-01 2470.500 -2.204968891 -4.412533e-02 -1.9567127580 -2.048196517
## 93  2020-04-02 2526.900 -2.070319185  2.282015e-02 -1.9918997139 -2.053727184
## 94  2020-04-03 2488.650 -2.161637469 -1.513114e-02 -2.0099143986 -2.080704755
## 95  2020-04-04 2546.993 -2.022348238  2.343435e-02 -2.0177143955 -2.066115626
## 96  2020-04-05 2605.337 -1.883059004  2.289776e-02 -2.0152997047 -2.020351470
## 97  2020-04-06 2663.680 -1.743769772  2.238519e-02 -2.0026703262 -1.951206046
## 98  2020-04-07 2659.410 -1.753963997 -1.602444e-03 -1.9771523651 -1.901895534
## 99  2020-04-08 2749.980 -1.537736622  3.404362e-02 -1.8818334696 -1.810855806
## 100 2020-04-09 2789.820 -1.442622362  1.448211e-02 -1.7921624949 -1.718797445
## 101 2020-04-10 2782.773 -1.459447606 -2.525243e-03 -1.6918496574 -1.653959985
## 102 2020-04-11 2775.725 -1.476272851 -2.531636e-03 -1.6138388879 -1.609538202
## 103 2020-04-12 2768.677 -1.493098096 -2.538062e-03 -1.5581301867 -1.580428175
## 104 2020-04-13 2761.630 -1.509923341 -2.544520e-03 -1.5247235536 -1.562801967
## 105 2020-04-14 2846.060 -1.308354640  3.056146e-02 -1.4610650742 -1.499190135
## 106 2020-04-15 2783.360 -1.458045005 -2.202272e-02 -1.4496805574 -1.488903853
## 107 2020-04-16 2799.550 -1.419392900  5.814622e-03 -1.4463620629 -1.471526114
## 108 2020-04-17 2874.560 -1.240313565  2.678402e-02 -1.4150571999 -1.413722977
## 109 2020-04-18 2857.427 -1.281217790 -5.958260e-03 -1.3871921911 -1.380596680
## 110 2020-04-19 2840.293 -1.322122017 -5.993974e-03 -1.3627670369 -1.365978014
## 111 2020-04-20 2823.160 -1.363026241 -6.030118e-03 -1.3417817369 -1.365240071
## 112 2020-04-21 2736.560 -1.569775613 -3.066399e-02 -1.3791275901 -1.416373956
## 113 2020-04-22 2799.310 -1.419965877  2.292187e-02 -1.3736877147 -1.417271937
## 114 2020-04-23 2797.800 -1.423570861 -5.392260e-04 -1.3742845662 -1.418846668
## 115 2020-04-24 2836.740 -1.330605266  1.391311e-02 -1.3871833805 -1.396786317
## 116 2020-04-25 2850.653 -1.297388489  4.902963e-03 -1.3894934804 -1.371936860
## 117 2020-04-26 2864.567 -1.264171710  4.879041e-03 -1.3812148652 -1.344995573
## 118 2020-04-27 2878.480 -1.230954933  4.855351e-03 -1.3623475355 -1.316485413
## 119 2020-04-28 2863.390 -1.266980892 -5.240530e-03 -1.3190911468 -1.304109282
## 120 2020-04-29 2939.510 -1.085251536  2.657459e-02 -1.2712748123 -1.249394846
## 121 2020-04-30 2912.430 -1.149902495 -9.209287e-03 -1.2321793315 -1.224521758
## 122 2020-05-01 2830.710 -1.345001325 -2.804941e-02 -1.2342359113 -1.254641650
## 123 2020-05-02 2834.720 -1.335427826  1.416105e-03 -1.2396701023 -1.274838194
## 124 2020-05-03 2838.730 -1.325854327  1.414103e-03 -1.2484819048 -1.287592227
## 125 2020-05-04 2842.740 -1.316280829  1.412106e-03 -1.2606713185 -1.294764378
## 126 2020-05-05 2868.440 -1.254924491  9.037394e-03 -1.2589489755 -1.284804406
## 127 2020-05-06 2848.420 -1.302720362 -6.976971e-03 -1.2900159505 -1.289283395
## 128 2020-05-07 2881.190 -1.224485063  1.150059e-02 -1.3006706031 -1.273083812
## 129 2020-05-08 2929.800 -1.108433250  1.686565e-02 -1.2668751639 -1.231921171
## 130 2020-05-09 2929.973 -1.108019434  5.914187e-05 -1.2343882507 -1.200945737
## 131 2020-05-10 2930.147 -1.107605615  5.913872e-05 -1.2032098632 -1.177610706
## 132 2020-05-11 2930.320 -1.107191799  5.913488e-05 -1.1733400018 -1.160005980
## 133 2020-05-12 2870.120 -1.250913649 -2.053682e-02 -1.1727670243 -1.182732897
## 134 2020-05-13 2820.000 -1.370570444 -1.745660e-02 -1.1824598933 -1.229692284
## 135 2020-05-14 2852.500 -1.292979745  1.152074e-02 -1.1922448479 -1.245514149
## 136 2020-05-15 2863.700 -1.266240796  3.925004e-03 -1.2147887830 -1.250695811
## 137 2020-05-16 2893.770 -1.194451493  1.049674e-02 -1.2271362201 -1.236634731
## 138 2020-05-17 2923.840 -1.122662191  1.038770e-02 -1.2292871595 -1.208141596
## 139 2020-05-18 2953.910 -1.050872888  1.028090e-02 -1.2212416008 -1.168824419
## 140 2020-05-19 2922.940 -1.124810856 -1.048086e-02 -1.2032269161 -1.157821028
## 141 2020-05-20 2971.610 -1.008615799  1.664535e-02 -1.1515191097 -1.120519721
## 142 2020-05-21 2948.510 -1.063764881 -7.770949e-03 -1.1187741292 -1.106331011
## 143 2020-05-22 2955.450 -1.047196282  2.352933e-03 -1.0874820558 -1.091547329
## 144 2020-05-23 2964.530 -1.025518635  3.071251e-03 -1.0633487903 -1.075040155
## 145 2020-05-24 2973.610 -1.003840987  3.061847e-03 -1.0463743326 -1.057240363
## 146 2020-05-25 2982.690 -0.982163339  3.052501e-03 -1.0365586828 -1.038471107
## 147 2020-05-26 2991.770 -0.960485691  3.043212e-03 -1.0130836593 -1.018974753
## 148 2020-05-27 3036.130 -0.854580355  1.482239e-02 -0.9910785958 -0.977876154
## 149 2020-05-28 3029.730 -0.869859754 -2.107253e-03 -0.9633778634 -0.950872054
## 150 2020-05-29 3044.310 -0.835051373  4.810722e-03 -0.9330714477 -0.921916884
## 151 2020-05-30 3048.117 -0.825963313  1.250010e-03 -0.9045635445 -0.897928491
## 152 2020-05-31 3051.923 -0.816875255  1.248449e-03 -0.8778541542 -0.877665182
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## 237 2020-08-24 3431.280  0.088803182  3.324655e-03  0.0165193452  0.027289429
## 238 2020-08-25 3443.620  0.118263774  3.595278e-03  0.0348819090  0.050033015
## 239 2020-08-26 3478.730  0.202085603  1.019271e-02  0.0703110162  0.088046162
## 240 2020-08-27 3484.550  0.215980307  1.672544e-03  0.1040894025  0.120029698
## 241 2020-08-28 3508.010  0.271988855  6.730645e-03  0.1418956840  0.158019488
## 242 2020-08-29 3505.443  0.265861179 -7.314505e-04  0.1749476168  0.184979910
## 243 2020-08-30 3502.877  0.259733505 -7.319856e-04  0.2032452007  0.203668309
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## 245 2020-09-01 3526.650  0.316490106  7.522899e-03  0.2551064833  0.241237043
## 246 2020-09-02 3580.840  0.445863645  1.536150e-02  0.2899319177  0.292393693
## 247 2020-09-03 3455.060  0.145575700 -3.511603e-02  0.2798741167  0.255689195
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## 284 2020-10-10 3496.160  0.243698093  5.471331e-03  0.0815579729  0.103690515
## 285 2020-10-11 3515.190  0.289130431  5.441558e-03  0.1247438762  0.150050494
## 286 2020-10-12 3534.220  0.334562770  5.412108e-03  0.1675773530  0.196178563
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## 292 2020-10-18 3445.883  0.123667269 -5.471487e-03  0.2230913669  0.184660712
## 293 2020-10-19 3426.920  0.078394091 -5.501588e-03  0.1864958414  0.158094057
## 294 2020-10-20 3443.120  0.117070071  4.725898e-03  0.1630276390  0.147838060
## 295 2020-10-21 3435.560  0.099021280 -2.195045e-03  0.1449140475  0.135633865
## 296 2020-10-22 3453.490  0.141827472  5.217427e-03  0.1347334656  0.137182267
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## 311 2020-11-06 3509.440  0.275402846 -2.876305e-04 -0.0121602237  0.073338508
## 312 2020-11-07 3523.127  0.308078479  3.898847e-03  0.0696050261  0.132023501
## 313 2020-11-08 3536.813  0.340754109  3.883704e-03  0.1514589509  0.184206153
## 314 2020-11-09 3550.500  0.373429742  3.868680e-03  0.2334015509  0.231512050
## 315 2020-11-10 3545.530  0.361564334 -1.399409e-03  0.2935539539  0.264025121
## 316 2020-11-11 3572.660  0.426334662  7.649731e-03  0.3376254713  0.304602507
## 317 2020-11-12 3537.010  0.341223633 -9.975767e-03  0.3466839723  0.313757788
## 318 2020-11-13 3585.150  0.456153365  1.360652e-02  0.3725054750  0.349356682
## 319 2020-11-14 3599.070  0.489386059  3.881600e-03  0.3984065578  0.384364026
## 320 2020-11-15 3612.990  0.522618752  3.866591e-03  0.4243872211  0.418927708
## 321 2020-11-16 3626.910  0.555851446  3.851699e-03  0.4504474644  0.453158642
## 322 2020-11-17 3609.530  0.514358327 -4.790637e-03  0.4722751777  0.468458563
## 323 2020-11-18 3567.790  0.414707994 -1.156063e-02  0.4706142251  0.455020921
## 324 2020-11-19 3581.870  0.448322673  3.945315e-03  0.4859140879  0.453346359
## 325 2020-11-20 3557.540  0.390237081 -6.790645e-03  0.4764974760  0.437569040
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## 328 2020-11-23 3577.590  0.438104575  1.871083e-03  0.4334389009  0.430399350
## 329 2020-11-24 3635.410  0.576144398  1.615720e-02  0.4422654825  0.466835612
## 330 2020-11-25 3629.650  0.562392938 -1.583980e-03  0.4633633316  0.490724944
## 331 2020-11-26 3634.000  0.572778155  1.198133e-03  0.4811426862  0.511238246
## 332 2020-11-27 3638.350  0.583163372  1.196699e-03  0.5087035848  0.529219528
## 333 2020-11-28 3632.777  0.569857562 -1.531409e-03  0.5320842492  0.539379036
## 334 2020-11-29 3627.203  0.556551751 -1.533758e-03  0.5512846787  0.543672215
## 335 2020-11-30 3621.630  0.543245941 -1.536114e-03  0.5663048739  0.543565647
## 336 2020-12-01 3662.450  0.640699860  1.126806e-02  0.5755270827  0.567849200
## 337 2020-12-02 3669.010  0.656361244  1.790662e-03  0.5889511264  0.589977211
## 338 2020-12-03 3666.720  0.650894084 -6.239765e-04  0.6001105448  0.605206429
## 339 2020-12-04 3699.120  0.728246043  8.833826e-03  0.6208366407  0.635966333
## 340 2020-12-05 3696.733  0.722548100 -6.450242e-04  0.6426495746  0.657611774
## 341 2020-12-06 3694.347  0.716850159 -6.454403e-04  0.6655493472  0.672421370
## 342 2020-12-07 3691.960  0.711152215 -6.458574e-04  0.6895359578  0.682104082
## 343 2020-12-08 3702.250  0.735718624  2.786383e-03  0.7031100670  0.695507717
## 344 2020-12-09 3672.820  0.665457262 -7.947074e-03  0.7044094980  0.687995103
## 345 2020-12-10 3668.100  0.654188705 -1.284766e-03  0.7048801581  0.679543504
## 346 2020-12-11 3663.460  0.643111140 -1.264615e-03  0.6927180291  0.670435413
## 347 2020-12-12 3658.137  0.630402182 -1.452692e-03  0.6795543266  0.660427105
## 348 2020-12-13 3652.813  0.617693222 -1.454806e-03  0.6653890499  0.649743634
## 349 2020-12-14 3647.490  0.604984264 -1.456925e-03  0.6502221998  0.638553792
## 350 2020-12-15 3694.620  0.717502715  1.291767e-02  0.6476199271  0.658291023
## 351 2020-12-16 3701.170  0.733140226  1.772368e-03  0.6572889219  0.677003323
## 352 2020-12-17 3722.480  0.784015851  5.756084e-03  0.6758356571  0.703756455
## 353 2020-12-18 3709.410  0.752812452 -3.510157e-03  0.6915072731  0.716020454
## 354 2020-12-19 3704.580  0.741281281 -1.301743e-03  0.7073471443  0.722335661
## 355 2020-12-20 3699.750  0.729750109 -1.303440e-03  0.7233552710  0.724189273
## 356 2020-12-21 3694.920  0.718218937 -1.305141e-03  0.7395316529  0.722696689
## 357 2020-12-22 3687.260  0.699931406 -2.072556e-03  0.7370214659  0.717005368
## 358 2020-12-23 3690.010  0.706496773  7.456090e-04  0.7332152584  0.714378220
## 359 2020-12-24 3703.060  0.737652423  3.535618e-03  0.7265919117  0.720196770
## 360 2020-12-25 3711.135  0.756930728  2.180040e-03  0.7271802367  0.729380260
## 361 2020-12-26 3719.210  0.776209032  2.175298e-03  0.7321699156  0.741087453
## 362 2020-12-27 3727.285  0.795487337  2.170576e-03  0.7415609482  0.754687424
## 363 2020-12-28 3735.360  0.814765642  2.165875e-03  0.7553533345  0.769706978
## 364 2020-12-29 3727.040  0.794902423 -2.226766e-03  0.7689206226  0.776005839
## 365 2020-12-30 3732.040  0.806839453  1.341187e-03  0.7832552911  0.783714243
## 366 2020-12-31 3756.070  0.864208823  6.437113e-03  0.8013347768  0.803837888
## 367 2021-01-01 3742.215  0.831131311 -3.687714e-03  0.8119348601  0.810661244
## 368 2021-01-02 3728.360  0.798053799 -3.701364e-03  0.8150555410  0.807509382
## 369 2021-01-03 3714.505  0.764976287 -3.715115e-03  0.8106968195  0.796876108
## 370 2021-01-04 3700.650  0.731898774 -3.728968e-03  0.7988586956  0.780631775
## 371 2021-01-05 3726.860  0.794472689  7.080626e-03  0.7987973051  0.784092004
## 372 2021-01-06 3748.140  0.845276692  5.708369e-03  0.8042883393  0.799388176
## 373 2021-01-07 3803.790  0.978135844  1.484340e-02  0.8205636280  0.844075093
## 374 2021-01-08 3824.680  1.028008758  5.490448e-03  0.8486889776  0.890058509
## 375 2021-01-09 3816.323  1.008058000 -2.184361e-03  0.8786895778  0.919558382
## 376 2021-01-10 3807.967  0.988107244 -2.189143e-03  0.9105654290  0.936695597
## 377 2021-01-11 3799.610  0.968156486 -2.193946e-03  0.9443165306  0.944560820
## 378 2021-01-12 3801.190  0.971928588  4.157227e-04  0.9696673733  0.951402762
## 379 2021-01-13 3809.840  0.992579651  2.275005e-03  0.9907106531  0.961696984
## 380 2021-01-14 3795.540  0.958439743 -3.752454e-03  0.9878969245  0.960882674
## 381 2021-01-15 3768.250  0.893287430 -7.188124e-03  0.9686510204  0.943983863
## 382 2021-01-16 3775.915  0.911586898  2.033561e-03  0.9548694343  0.935884622
## 383 2021-01-17 3783.580  0.929886366  2.029434e-03  0.9465521660  0.934385058
## 384 2021-01-18 3791.245  0.948185834  2.025324e-03  0.9436992156  0.937835252
## 385 2021-01-19 3798.910  0.966485302  2.021230e-03  0.9429216033  0.944997764
## 386 2021-01-20 3851.850  1.092874583  1.393191e-02  0.9572494508  0.981966969
## 387 2021-01-21 3853.070  1.095787219  3.166487e-04  0.9768705187  1.010422031
## 388 2021-01-22 3841.470  1.068093307 -3.009805e-03  1.0018427869  1.024839850
## 389 2021-01-23 3846.100  1.079146998  1.204954e-03  1.0257799441  1.038416637
## 390 2021-01-24 3850.730  1.090200688  1.203504e-03  1.0486819901  1.051362650
## 391 2021-01-25 3855.360  1.101254379  1.202057e-03  1.0705489251  1.063835582
## 392 2021-01-26 3849.620  1.087550667 -1.488450e-03  1.0878439773  1.069764353
## 393 2021-01-27 3750.770  0.851555570 -2.567119e-02  1.0533698326  1.015212158
## 394 2021-01-28 3787.380  0.938958509  9.758061e-03  1.0309657313  0.996148746
## 395 2021-01-29 3714.240  0.764343624 -1.930641e-02  0.9875729193  0.938197465
## 396 2021-01-30 3734.113  0.811789341  5.349138e-03  0.9493789684  0.906595434
## 397 2021-01-31 3753.987  0.859235061  5.320678e-03  0.9163838788  0.894755341
## 398 2021-02-01 3773.860  0.906680778  5.292518e-03  0.8885876501  0.897736700
## 399 2021-02-02 3826.310  1.031900230  1.389456e-02  0.8806375877  0.931277583
## 400 2021-02-03 3830.170  1.041115618  1.008541e-03  0.9077175945  0.958737091
## 401 2021-02-04 3871.740  1.140360091  1.085047e-02  0.9364892491  1.004142841
## 402 2021-02-05 3886.830  1.176386050  3.896466e-03  0.9953524528  1.047203644
## 403 2021-02-06 3896.417  1.199273318  2.465814e-03  1.0507073066  1.085221062
## 404 2021-02-07 3906.003  1.222160583  2.459749e-03  1.1025538097  1.119455942
## 405 2021-02-08 3915.590  1.245047851  2.453714e-03  1.1508919629  1.150853919
## 406 2021-02-09 3911.230  1.234638760 -1.113213e-03  1.1798546100  1.171800129
## 407 2021-02-10 3909.880  1.231415762 -3.450717e-04  1.2070403448  1.186704037
## 408 2021-02-11 3916.380  1.246933901  1.662030e-03  1.2222651748  1.201761503
## 409 2021-02-12 3934.830  1.290981545  4.709781e-03  1.2386359598  1.224066514
## 410 2021-02-13 3934.270  1.289644597 -1.422826e-04  1.2515461426  1.240461035
## 411 2021-02-14 3933.710  1.288307650 -1.423028e-04  1.2609957236  1.252422688
## 412 2021-02-15 3933.150  1.286970702 -1.423231e-04  1.2669847024  1.261059692
## 413 2021-02-16 3932.590  1.285633755 -1.423433e-04  1.2742697018  1.267203208
## 414 2021-02-17 3931.330  1.282625623 -3.203181e-04  1.2815853963  1.271058812
## 415 2021-02-18 3913.970  1.241180253 -4.414685e-03  1.2807634465  1.263589172
## 416 2021-02-19 3906.710  1.223847684 -1.854420e-03  1.2711728949  1.253653800
## 417 2021-02-20 3896.640  1.199806504 -2.576957e-03  1.2583388816  1.240191976
## 418 2021-02-21 3886.570  1.175765324 -2.583615e-03  1.2422614066  1.224085313
## 419 2021-02-22 3876.500  1.151724144 -2.590307e-03  1.2229404697  1.205995021
## 420 2021-02-23 3881.370  1.163350812  1.255964e-03  1.2054714779  1.195333969
## 421 2021-02-24 3925.430  1.268539927  1.134874e-02  1.2034592356  1.213635458
## 422 2021-02-25 3829.340  1.039134071 -2.447261e-02  1.1745954953  1.170010111
## 423 2021-02-26 3811.150  0.995707153 -4.748926e-03  1.1420039909  1.126434372
## 424 2021-02-27 3841.373  1.067862524  7.928159e-03  1.1231548509  1.111791410
## 425 2021-02-28 3871.597  1.140017897  7.865798e-03  1.1180480756  1.118848032
## 426 2021-03-01 3901.820  1.212173268  7.804410e-03  1.1266836647  1.142179341
## 427 2021-03-02 3870.290  1.136898352 -8.078774e-03  1.1229047418  1.140859094
## 428 2021-03-03 3819.720  1.016167224 -1.306283e-02  1.0868514985  1.109686126
## 429 2021-03-04 3768.470  0.893812659 -1.341370e-02  1.0660912968  1.055717759
## 430 2021-03-05 3841.940  1.069215388  1.949080e-02  1.0765924732  1.059092167
## 431 2021-03-06 3835.077  1.052829825 -1.785959e-03  1.0744449448  1.057526581
## 432 2021-03-07 3828.213  1.036444259 -1.789155e-03  1.0596487108  1.052256001
## 433 2021-03-08 3821.350  1.020058696 -1.792361e-03  1.0322037719  1.044206674
## 434 2021-03-09 3875.440  1.149193494  1.415098e-02  1.0339602207  1.070453379
## 435 2021-03-10 3898.810  1.204987176  6.028727e-03  1.0609344995  1.104086828
## 436 2021-03-11 3939.340  1.301748746  1.039281e-02  1.1192110834  1.153502308
## 437 2021-03-12 3943.340  1.311298371  1.015141e-03  1.1537943667  1.192951324
## 438 2021-03-13 3951.873  1.331670903  2.163437e-03  1.1936288064  1.227631218
## 439 2021-03-14 3960.407  1.352043437  2.158767e-03  1.2387144031  1.258734273
## 440 2021-03-15 3968.940  1.372415968  2.154117e-03  1.2890511564  1.287154697
## 441 2021-03-16 3962.710  1.357542428 -1.569293e-03  1.3188152898  1.304751630
## 442 2021-03-17 3974.120  1.384782732  2.878616e-03  1.3445003693  1.324759405
## 443 2021-03-18 3915.460  1.244737488 -1.475679e-02  1.3363559038  1.304753926
## 444 2021-03-19 3913.100  1.239103209 -6.025850e-04  1.3260423092  1.288341247
## 445 2021-03-20 3922.263  1.260979807  2.341109e-03  1.3159435813  1.281500887
## 446 2021-03-21 3931.427  1.282856407  2.335641e-03  1.3060597198  1.281839767
## 447 2021-03-22 3940.590  1.304733004  2.330198e-03  1.2963907250  1.287563076
## 448 2021-03-23 3910.520  1.232943701 -7.628901e-03  1.2785909069  1.273908232
## 449 2021-03-24 3889.140  1.181900958 -5.465906e-03  1.2496077963  1.250906414
## 450 2021-03-25 3909.520  1.230556295  5.238886e-03  1.2475819117  1.245818884
## 451 2021-03-26 3974.540  1.385785443  1.662694e-02  1.2685365164  1.280810524
## 452 2021-03-27 3973.390  1.383039926 -2.892689e-04  1.2859736763  1.306367874
## 453 2021-03-28 3972.240  1.380294409 -2.893526e-04  1.2998933908  1.324849508
## 454 2021-03-29 3971.090  1.377548891 -2.894363e-04  1.3102956604  1.338024354
## 455 2021-03-30 3958.550  1.347610818 -3.157028e-03  1.3266766772  1.340420970
## 456 2021-03-31 3972.890  1.381846223  3.621624e-03  1.3552402863  1.350777283
## 457 2021-04-01 4019.870  1.494006563  1.182217e-02  1.3928760389  1.386584603
## 458 2021-04-02 4034.380  1.528647826  3.608672e-03  1.4132849508  1.422100409
## 459 2021-04-03 4048.890  1.563289089  3.595696e-03  1.4390348313  1.457397579
## 460 2021-04-04 4063.400  1.597930352  3.582813e-03  1.4701256805  1.492530772
## 461 2021-04-05 4077.910  1.632571616  3.570023e-03  1.5065574982  1.527540983
## 462 2021-04-06 4073.940  1.623093613 -9.732992e-04  1.5459121832  1.551429141
## 463 2021-04-07 4079.950  1.637441924  1.474868e-03  1.5824258548  1.572932336
## 464 2021-04-08 4097.170  1.678553058  4.219606e-03  1.6087896398  1.599337517
## 465 2021-04-09 4128.800  1.754066714  7.718079e-03  1.6409923380  1.638019816
## 466 2021-04-10 4128.530  1.753422114 -6.537847e-05  1.6681541988  1.666870391
## 467 2021-04-11 4128.260  1.752777515 -6.538274e-05  1.6902752220  1.688347172
## 468 2021-04-12 4127.990  1.752132915 -6.538702e-05  1.7073554076  1.704293608
## 469 2021-04-13 4141.590  1.784601639  3.293784e-03  1.7304279827  1.724370615
## 470 2021-04-14 4124.660  1.744182853 -4.086815e-03  1.7456766868  1.729323675
## 471 2021-04-15 4170.420  1.853430558  1.109156e-02  1.7706591868  1.760350395
## 472 2021-04-16 4185.470  1.889361020  3.607884e-03  1.7899869448  1.792603052
## 473 2021-04-17 4178.067  1.871686257 -1.768395e-03  1.8068818224  1.812373853
## 474 2021-04-18 4170.663  1.854011492 -1.771528e-03  1.8213438192  1.822783263
## 475 2021-04-19 4163.260  1.836336730 -1.774672e-03  1.8333729355  1.826171630
## 476 2021-04-20 4134.940  1.768725388 -6.800728e-03  1.8311048997  1.811810069
## 477 2021-04-21 4173.420  1.860592776  9.303810e-03  1.8477348888  1.824005746
## 478 2021-04-22 4134.980  1.768820884 -9.208465e-03  1.8356477925  1.810209530
## 479 2021-04-23 4180.170  1.876707768  1.092607e-02  1.8338401850  1.826834090
## 480 2021-04-24 4182.653  1.882636492  5.939326e-04  1.8354045042  1.840784690
## 481 2021-04-25 4185.137  1.888565219  5.935803e-04  1.8403407509  1.852729822
## 482 2021-04-26 4187.620  1.894493943  5.932279e-04  1.8486489243  1.863170853
## 483 2021-04-27 4186.720  1.892345278 -2.148679e-04  1.8663089086  1.870464459
## 484 2021-04-28 4183.180  1.883893860 -8.453287e-04  1.8696376348  1.873821809
## 485 2021-04-29 4211.470  1.951433580  6.761181e-03  1.8957251628  1.893224752
## 486 2021-04-30 4181.170  1.879095174 -7.192930e-03  1.8960662208  1.889692357

台灣類股與美國類股資料數眾多，獨立處理。

# 台灣類股
TAIEX_CAT_list = list()
for (i in 2:length(TAIEX_CAT[[1]])){
  dat <- TAIEX_CAT[[1]][c(1,i)]
  pref <- colnames(dat)[2]
  TAIEX_CAT_list[[i-1]] <- getMA_ROC(dat[c("Date",pref)], prefix = pref)
}
head(TAIEX_CAT_list[[1]])

##         Date   水泥  水泥_std     水泥_ROC  水泥_7MA 水泥_7EMA
## 1 2021-04-01 185.38 -1.505895           NA -1.505895 -1.505895
## 2 2021-04-02 185.46 -1.496297 0.0004292306 -1.501096 -1.503495
## 3 2021-04-03 185.54 -1.486699 0.0004290464 -1.496297 -1.499296
## 4 2021-04-04 185.62 -1.477100 0.0004288624 -1.491498 -1.493747
## 5 2021-04-05 185.70 -1.467502 0.0004286786 -1.486699 -1.487186
## 6 2021-04-06 185.78 -1.457904 0.0004284949 -1.481899 -1.479865

# 美國類股
US_SP500_CAT_list = list()
for (i in 2:length(US_SP500_CAT)){
  dat <- US_SP500_CAT[c(1,i)]
  pref <- colnames(dat)[2]
  US_SP500_CAT_list[[i-1]] <- getMA_ROC(dat[c("Date",pref)], prefix = pref)
}
head(US_SP500_CAT_list[[1]])

##         Date Energy Energy_std    Energy_ROC Energy_7MA Energy_7EMA
## 1 2020-01-01 460.17   2.409713            NA   2.409713    2.409713
## 2 2020-01-02 460.34   2.412384  0.0003686276   2.411048    2.410381
## 3 2020-01-03 458.77   2.387721 -0.0034031300   2.403272    2.404716
## 4 2020-01-04 459.96   2.406414  0.0025882506   2.404058    2.405140
## 5 2020-01-05 461.15   2.425108  0.0025815689   2.408268    2.410132
## 6 2020-01-06 462.34   2.443802  0.0025749216   2.414190    2.418550

3 資料視覺化

3.1 各樣重要指數對疫情初步探勘

這邊我們先採用初步分別作出各指數原始值與新增確診人數原始值及各指數變動率對新增確診人數變動率兩種動圖去探索其中的關聯性。

指數包含美國SP500指數、台股大盤指數、比特幣、石油、黃金五種標的。

3.1.1 美國SP500指數-COVID-19確診人數散佈圖/趨勢圖

temp_data = full_join(data_list[[7]], data_list[[2]], by = "Date")[c("Date","SP500_std","SP500_7MA", "SP500_7EMA","SP500_ROC","US_COVID_std")]

p <- temp_data %>%
  ggplot( aes(US_COVID_std, SP500_7MA,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "美國SP500指數-COVID-19確診人數散佈圖/趨勢圖",x='單日確診人數(標準化)',y='標準化後指數之七日簡單移動平均') + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.2 美國大盤指數變動率-COVID-19新增確診人數變動率散佈圖/趨勢圖

temp_data = full_join(data_list[[7]], data_list[[2]], by = "Date")
p <- temp_data %>%
  ggplot( aes(US_COVID_ROC, SP500_ROC,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "美國SP500指數變動率-COVID-19新增確診人數變動率散佈圖/趨勢圖",x='新增確診人數',y='指數變動率') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

## Warning: Removed 1 rows containing non-finite values (stat_smooth).

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.3 台灣大盤指數-COVID-19確診人數散佈圖/趨勢圖

temp_data = full_join(data_list[[6]], data_list[[1]], by = "Date") # [c("Date","大盤_std","大盤_7MA", "大盤_7EMA","大盤_ROC","TW_COVID_std")]

p <- temp_data %>%
  ggplot( aes(TW_COVID_std, 大盤_7MA,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "台灣大盤指數-COVID-19確診人數散佈圖/趨勢圖", x='單日確診人數(標準化)', y='標準化後指數之七日簡單移動平均') + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_7MA對TW_COVID_std.html")

3.1.4 台灣大盤指數變動率-COVID-19新增確診人數變動率散佈圖/趨勢圖

將大盤指數乘以100使圖表比較更直觀

temp_data = full_join(data_list[[6]], data_list[[1]], by = "Date") # [c("Date","大盤_std","大盤_7MA", "大盤_7EMA","大盤_ROC","TW_COVID_std")]

p <- temp_data %>%
  ggplot( aes(TW_COVID_ROC, 大盤_ROC*100,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "台灣大盤指數變動率-COVID-19新增確診人數變動率散佈圖/趨勢圖", x='新增確診人數變動率', y='指數變動率') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

## Warning: Removed 1 rows containing non-finite values (stat_smooth).

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_7MA對TW_COVID_std.html")

3.1.5 比特幣-COVID-19確診人數趨勢圖/散佈圖

temp_data = full_join(data_list[[3]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_std, BTC_7MA,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "比特幣-COVID-19確診人數散佈圖/趨勢圖",x='單日確診人數(標準化)',y='標準化後指數之七日簡單移動平均') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.6 比特幣變動率-COVID-19確診人數變動率趨勢圖/散佈圖

temp_data = full_join(data_list[[3]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_ROC, BTC_ROC,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "比特幣變動率-COVID-19確診人數變動率散佈圖/趨勢圖",x='新增確診人數變動率',y='比特幣變動率') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

## Warning: Removed 1 rows containing non-finite values (stat_smooth).

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.7 石油-COVID-19確診人數趨勢圖/散佈圖

temp_data = full_join(data_list[[4]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_std, Oil_7MA,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "石油-COVID-19確診人數散佈圖/趨勢圖",x='單日確診人數(標準化)',y='標準化後指數之七日簡單移動平均') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.8 石油變動率-COVID-19確診人數變動率趨勢圖/散佈圖

temp_data = full_join(data_list[[4]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_ROC, Oil_ROC,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "石油變動率-COVID-19確診人數散佈圖/趨勢圖",x='新增確診人數變動率',y='石油變動率') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

## Warning: Removed 1 rows containing non-finite values (stat_smooth).

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.9 黃金-COVID-19確診人數趨勢圖/散佈圖

temp_data = full_join(data_list[[5]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_std, Gold_7MA,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "黃金-COVID-19確診人數散佈圖/趨勢圖",x='單日確診人數(標準化)',y='標準化後指數之七日簡單移動平均') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.1.10 黃金變動率-COVID-19確診人數變動率趨勢圖/散佈圖

temp_data = full_join(data_list[[5]], data_list[[2]], by = "Date")

p <- temp_data %>%
  ggplot( aes(US_COVID_ROC, Gold_ROC,  color=Date)) +
  geom_point() +
  geom_smooth(method = "lm") +
  labs(title = "黃金變動率-COVID-19確診人數散佈圖/趨勢圖",x='新增確診人數變動率',y='黃金變動率') + 
  theme_bw()

ggplotly(p)

## `geom_smooth()` using formula 'y ~ x'

## Warning: Removed 1 rows containing non-finite values (stat_smooth).

# saveWidget(ggplotly(p), file="plot\\stock\\SP500_7MA對US_COVID_std.html")

3.2 各樣重要指數不同時期rmse之探討

初步看完以上資料的簡單關聯後，我們想利用rmse看不同時期病例數對指數的波動影響。

3.2.1 美國SP500指數對確診人數之rmse(每月)

# 抓出繪圖所需資料
us_case = full_join(data_list[[2]][c("Date","US_COVID","US_COVID_std")], data_list[[7]][c("Date","SP500_std")],by = 'Date')

# 計算殘差
us_case['residues'] = us_case['SP500_std'] - us_case['US_COVID_std']

# 處理時間序列(以一個月為單位)
dates <- c("2020/01", "2020/02", "2020/03", "2020/04", "2020/05", "2020/06",
           "2020/07", "2020/08", "2020/09", "2020/10", "2020/11", "2020/12",
           "2021/01", "2021/02", "2021/03", "2021/04")
us_case['group'] = format(us_case['Date'], '%Y-%m')

# 每一個月加總一次算rmse
US_RMSE = us_case %>% group_by(group) %>%
  summarise(rmse = sqrt(mean(sum(residues**2))), cases = sum(US_COVID), sign = mean(sum(residues)))
US_RMSE['group'] <- as.Date(as.yearmon(unlist(US_RMSE['group'])) )+14
# 繪圖
p <- ggplot( )+ 
  geom_bar(data = US_RMSE, aes(x = group, y = cases/100000), stat = "identity") + 
  geom_point(data = US_RMSE, aes(x = group, y = rmse*5, colour = "rmse(/5)")) + 
  geom_line(data = US_RMSE, aes(x = group, y = rmse*5, colour = "rmse(/5)")) +
  geom_line(data = US_RMSE, aes(x = group, y = sign, colour = "sign"))  +
  labs(title = "US_RMSE(monthly)", x ="日期", y = "一個月內累積確診人數 (*10^5)",color = 'lines') + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\US_RMSE(monthly).html")

3.2.2 美國SP500各類股指數對確診人數之rmse(每月)

dfRMSE = read.csv("RMSE.csv", encoding ="UTF-8")
dfRMSE['Date']<- as.Date(as.yearmon(unlist(dfRMSE['Date']), "%Y/%m"))+14
casesCol = data_list[[2]][c("Date", "US_COVID") ]
casesCol['Date']<- as.Date(unlist(casesCol['Date'])) 
casesCol['Date'] = format(casesCol['Date'], "%Y-%m")
casesCol['US_COVID'] <- as.numeric(unlist(casesCol['US_COVID'])) 
casesCol<- casesCol %>%
  group_by(Date) %>%
  summarise(sum = sum(US_COVID ))
casesCol['Date'] <- as.Date(as.yearmon(unlist(casesCol['Date']), "%Y-%m"))+14

p <- ggplot() + 
  geom_bar(data = casesCol, aes(x = Date, y = sum*100/0.3), stat = "identity") + 
  geom_point(data = dfRMSE, aes(x = Date, y = RMSE, group = Category, color = Category)) + 
  geom_line(data = dfRMSE, aes(x = Date, y = RMSE, group = Category, color = Category)) +
  # 副座標軸：Cases (調整刻度)
  scale_y_continuous(sec.axis = sec_axis(~. *0.3/100, name = "Cases")) +
  labs(title = "11 Categories' RMSE in S&P500") + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\11_Categories_RMSE_SP500.html")

3.2.3 比特幣、原油、黃金指數對確診人數之rmse(每月)

# btc, oil, gold
BTC_OIL_GOLD_PLOT <- list()
BTC_OIL_GOLD_PLOT[[1]] <- data_list[[3]]
BTC_OIL_GOLD_PLOT[[2]] <- data_list[[4]]
BTC_OIL_GOLD_PLOT[[3]] <- data_list[[5]]
BTC_OIL_GOLD_PLOT[[1]]['group'] = 'BTC'
BTC_OIL_GOLD_PLOT[[2]]['group'] = 'OIL'
BTC_OIL_GOLD_PLOT[[3]]['group'] = 'GOLD'

names(BTC_OIL_GOLD_PLOT[[1]]) <- c('Date','origin','std','ROC', '7MA', '7EMA', 'group')
names(BTC_OIL_GOLD_PLOT[[2]]) <- c('Date','origin','std','ROC', '7MA', '7EMA', 'group')
names(BTC_OIL_GOLD_PLOT[[3]]) <- c('Date','origin','std','ROC', '7MA', '7EMA', 'group')

# 抓出繪圖所需資料
temp_data = rbind(BTC_OIL_GOLD_PLOT[[1]],BTC_OIL_GOLD_PLOT[[2]], BTC_OIL_GOLD_PLOT[[3]])
BOG_case = full_join(data_list[[2]][c("Date","US_COVID","US_COVID_std")], temp_data, by = 'Date')

# 計算殘差
BOG_case['residues'] = BOG_case['std'] - BOG_case['US_COVID_std']

# 處理時間序列(以一個月為單位)
BOG_case['month'] = format(BOG_case['Date'], '%Y-%m')

# 計算總表
BOG_RMSE = BOG_case %>% group_by(group, month) %>%
  summarise(rmse = sqrt(mean(sum(residues**2))), cases = sum(US_COVID), sign = mean(sum(residues)))
BOG_RMSE['month'] <- as.Date(as.yearmon(unlist(BOG_RMSE['month'])) )+14

# 繪圖
p <- ggplot( )+ 
  geom_bar(data = BOG_RMSE, aes(x = month, y = cases/100000), stat = "identity") + 
  geom_point(data = BOG_RMSE, aes(x = month, y = rmse*7, group = group, colour = group)) + 
  geom_line(data = BOG_RMSE, aes(x = month, y = rmse*7, group = group, colour = group)) +
  geom_line(linetype="dashed",data = BOG_RMSE, aes(x = month, y = sign, group = group, colour = group))  +
  labs(title = "BTC_OIL_GOLD_RMSE(monthly)", x ="日期", y = "一個月內累積確診人數 (*10^5)",color = 'lines') + 
  theme(text=element_text(size=25,  family="A"))+
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\BTC_OIL_GOLD_RMSE(monthly).html")

3.2.4 台灣大盤指數對確診人數之rmse(每五天)

# 每五天加總一次算rmse
tw_case = full_join(data_list[[1]][c("Date","TW_COVID","TW_COVID_std")], data_list[[6]][c("Date","大盤_std")],by = 'Date')

# 計算殘差
tw_case['residues'] = tw_case['大盤_std'] - tw_case['TW_COVID_std']

# 每五天分為一類進行RMSE計算
tw_case['group'] = c(rep(seq(as.Date("2021-04-03"), as.Date("2021-05-28"), 5), each = 5), rep(as.Date("2021-06-02"),3)) # 補最後三個
TW_RMSE = tw_case %>% group_by(group) %>%
  summarise(rmse = sqrt(mean(sum(residues**2))), cases = sum(TW_COVID), sign = mean(sum(residues)))

# 繪圖
p <- ggplot() + 
  geom_bar(data = TW_RMSE, aes(x = group, y = cases*0.4/100), stat = "identity") + 
  geom_point(data = TW_RMSE, aes(x = group, y = rmse, colour = "rmse")) + 
  geom_line(data = TW_RMSE, aes(x = group, y = rmse, color = "rmse")) +
  geom_line(linetype="dashed",data = TW_RMSE, aes(x = group, y = sign, color = "sign"))  +
  labs(title = "TAIEX_RMSE(5 DAYS)", x ="日期", y = "五天內累積確診人數 (*100/0.4)",color = 'lines') + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_RMSE(5 DAYS).html")

台灣類股資料處理

TAIEX_CAT_plot = data.frame()
TAIEX_CAT_w_COVID = list()
for (i in 1:length(TAIEX_CAT_list)){
  tw_case = full_join(TAIEX_CAT_list[[i]][c(1:3)],data_list[[1]][c("Date","TW_COVID","TW_COVID_std")], by = 'Date')
  TAIEX_CAT_plot = rbind(TAIEX_CAT_plot,data.frame(tw_cat_rmse(tw_case)))
  TAIEX_CAT_w_COVID[[i]] <- data.frame(tw_cat_rmse(tw_case))
}
head(TAIEX_CAT_plot)

##        group     rmse cases      sign category
## 1 2021-04-03 1.975718    18 -4.416496     水泥
## 2 2021-04-08 1.940253     8 -4.335758     水泥
## 3 2021-04-13 1.378141    12 -2.845938     水泥
## 4 2021-04-18 2.106813    10  4.273679     水泥
## 5 2021-04-23 4.851571    22 10.656778     水泥
## 6 2021-04-28 3.701146    28  8.206385     水泥

head(TAIEX_CAT_w_COVID)

## [[1]]
##         group     rmse cases      sign category
## 1  2021-04-03 1.975718    18 -4.416496     水泥
## 2  2021-04-08 1.940253     8 -4.335758     水泥
## 3  2021-04-13 1.378141    12 -2.845938     水泥
## 4  2021-04-18 2.106813    10  4.273679     水泥
## 5  2021-04-23 4.851571    22 10.656778     水泥
## 6  2021-04-28 3.701146    28  8.206385     水泥
## 7  2021-05-03 2.227369    32  4.801921     水泥
## 8  2021-05-08 3.687012    39  8.226952     水泥
## 9  2021-05-13 1.483121   276  0.343959     水泥
## 10 2021-05-18 2.670477  1350 -5.309960     水泥
## 11 2021-05-23 3.766543  2631 -7.785081     水泥
## 12 2021-05-28 4.135384  2704 -8.575037     水泥
## 13 2021-06-02       NA  1229        NA     水泥
## 
## [[2]]
##         group      rmse cases        sign category
## 1  2021-04-03 1.1039546    18  -2.4361176     食品
## 2  2021-04-08 0.5875681     8  -1.2647605     食品
## 3  2021-04-13 0.4487647    12  -0.8544397     食品
## 4  2021-04-18 2.8072908    10   5.7521719     食品
## 5  2021-04-23 3.7269371    22   8.3082600     食品
## 6  2021-04-28 4.8757079    28  10.5950537     食品
## 7  2021-05-03 3.8612663    32   8.0279943     食品
## 8  2021-05-08 3.6644260    39   8.0605632     食品
## 9  2021-05-13 2.1147026   276  -1.2098553     食品
## 10 2021-05-18 3.4676768  1350  -7.2524550     食品
## 11 2021-05-23 5.2021935  2631 -10.9593844     食品
## 12 2021-05-28 5.9686786  2704 -12.7463941     食品
## 13 2021-06-02        NA  1229          NA     食品
## 
## [[3]]
##         group      rmse cases        sign category
## 1  2021-04-03 0.6595552    18  -1.4539724     塑膠
## 2  2021-04-08 0.5321225     8  -0.1471981     塑膠
## 3  2021-04-13 1.6949282    12   3.4645667     塑膠
## 4  2021-04-18 4.4631510    10   9.9216069     塑膠
## 5  2021-04-23 3.8687476    22   8.6442750     塑膠
## 6  2021-04-28 3.7724747    28   8.3975065     塑膠
## 7  2021-05-03 3.2099512    32   7.1402532     塑膠
## 8  2021-05-08 3.2747842    39   7.1752434     塑膠
## 9  2021-05-13 2.4509069   276  -3.7500848     塑膠
## 10 2021-05-18 4.6418145  1350 -10.1245281     塑膠
## 11 2021-05-23 6.1664395  2631 -13.3664811     塑膠
## 12 2021-05-28 5.4896844  2704 -11.8263366     塑膠
## 13 2021-06-02        NA  1229          NA     塑膠
## 
## [[4]]
##         group      rmse cases      sign category
## 1  2021-04-03 2.6092270    18 -5.828981     紡織
## 2  2021-04-08 1.7831308     8 -3.788187     紡織
## 3  2021-04-13 0.8597888    12 -1.837450     紡織
## 4  2021-04-18 1.4074246    10  2.890790     紡織
## 5  2021-04-23 1.8676038    22  4.120869     紡織
## 6  2021-04-28 2.3561408    28  5.185687     紡織
## 7  2021-05-03 2.6130168    32  5.779520     紡織
## 8  2021-05-08 4.2417601    39  9.355849     紡織
## 9  2021-05-13 2.7161606   276  2.569889     紡織
## 10 2021-05-18 3.0668011  1350 -6.164871     紡織
## 11 2021-05-23 2.7175041  2631 -5.334274     紡織
## 12 2021-05-28 2.2418431  2704 -4.151119     紡織
## 13 2021-06-02        NA  1229        NA     紡織
## 
## [[5]]
##         group     rmse cases       sign category
## 1  2021-04-03 1.753062    18   3.913094     電機
## 2  2021-04-08 3.070448     8   6.732890     電機
## 3  2021-04-13 2.980063    12   6.604598     電機
## 4  2021-04-18 3.314377    10   7.407671     電機
## 5  2021-04-23 2.964677    22   6.563831     電機
## 6  2021-04-28 4.081344    28   9.098614     電機
## 7  2021-05-03 2.985621    32   6.168047     電機
## 8  2021-05-08 1.564066    39   3.448289     電機
## 9  2021-05-13 2.887599   276  -5.854297     電機
## 10 2021-05-18 5.340982  1350 -11.737978     電機
## 11 2021-05-23 6.566642  2631 -14.355650     電機
## 12 2021-05-28 6.126815  2704 -13.379775     電機
## 13 2021-06-02       NA  1229         NA     電機
## 
## [[6]]
##         group      rmse cases       sign category
## 1  2021-04-03 1.6174211    18  -3.615504     電纜
## 2  2021-04-08 1.2578495     8  -2.780159     電纜
## 3  2021-04-13 0.7426281    12  -1.577766     電纜
## 4  2021-04-18 0.9465281    10   1.965829     電纜
## 5  2021-04-23 1.5835264    22   3.443582     電纜
## 6  2021-04-28 4.5464617    28   9.877612     電纜
## 7  2021-05-03 4.1897434    32   9.238563     電纜
## 8  2021-05-08 5.1066677    39  11.388424     電纜
## 9  2021-05-13 2.1238049   276   1.698866     電纜
## 10 2021-05-18 3.0290207  1350  -6.426424     電纜
## 11 2021-05-23 4.9981911  2631 -10.706199     電纜
## 12 2021-05-28 4.3920201  2704  -9.085231     電纜
## 13 2021-06-02        NA  1229         NA     電纜

因台灣類股分類數量太多，不易呈現。我們將32類股分為：工業相關、電子相關與服務相關。

# 類股分類
unique(TAIEX_CAT_plot$category)

##  [1] "水泥"   "食品"   "塑膠"   "紡織"   "電機"   "電纜"   "玻璃"   "造紙"  
##  [9] "鋼鐵"   "橡膠"   "汽車"   "營建"   "航運"   "觀光"   "金融"   "百貨"  
## [17] "其他"   "化學"   "生技"   "油電"   "半導體" "電腦"   "光電"   "通信"  
## [25] "零組件" "電通"   "資服"   "其他電" "化生"   "電子"   "窯製"   "化工"

# 工業相關
industrial = c("塑膠", "玻璃", "水泥", "造紙", "鋼鐵","橡膠", "窯製", "油電","窯製","化工","化學", "化生", "生技")

# 電子相關
electronics = c("半導體" ,"電腦","光電" ,  "電通" ,  "零組件" ,"電子", "電機", "電纜","其他電")

# 服務相關
service = c("食品", "紡織","營建", "航運"  , "觀光"  , "金融" ,  "百貨", "通信"  , "資服","其他" )

3.2.5 台灣工業相關指數對確診人數之rmse(每五天)

p <- ggplot() + 
  geom_bar(data = TW_RMSE, aes(x = group, y = cases*0.3/100), stat = "identity") + 
  geom_point(data = TAIEX_CAT_plot%>%filter(category %in%industrial), aes(x = group, y = rmse, group = category, color = category)) + 
  geom_line(data = TAIEX_CAT_plot%>%filter(category %in%industrial), aes(x = group, y = rmse, group = category, color = category)) +
  geom_line(linetype="dashed",data = TAIEX_CAT_plot%>%filter(category %in%industrial), aes(x = group, y = sign, group = category, color = category))  +
  # 副座標軸：Cases (調整刻度)
  # scale_y_continuous(sec.axis = sec_axis(~. *100/0.3, name = "Cases")) +
  labs(title = "TAIEX_工業相關類股分類_RMSE(5 DAYS)", x ="日期", y = "五天內累積確診人數 (*100/0.3)") + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_工業相關類股分類_RMSE(5 DAYS).html")

3.2.6 台灣電子相關指數對確診人數之rmse(每五天)

p <- ggplot() + 
  geom_bar(data = TW_RMSE, aes(x = group, y = cases*0.3/100), stat = "identity") + 
  geom_point(data = TAIEX_CAT_plot%>%filter(category %in%electronics), aes(x = group, y = rmse, group = category, color = category)) + 
  geom_line(data = TAIEX_CAT_plot%>%filter(category %in%electronics), aes(x = group, y = rmse, group = category, color = category)) +
  geom_line(linetype="dashed",data = TAIEX_CAT_plot%>%filter(category %in%electronics), aes(x = group, y = sign, group = category, color = category))  +
  # 副座標軸：Cases (調整刻度)
  scale_y_continuous(sec.axis = sec_axis(~. *100/0.3, name = "Cases")) +
  labs(title = "TAIEX_電子相關類股分類_RMSE(5 DAYS)", x ="日期", y = "五天內累積確診人數 (*100/0.3)") + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_電子相關類股分類_RMSE(5 DAYS).html")

3.2.7 台灣服務相關指數對確診人數之rmse(每五天)

p <- ggplot() + 
  geom_bar(data = TW_RMSE, aes(x = group, y = cases*0.3/100), stat = "identity") + 
  geom_point(data = TAIEX_CAT_plot%>%filter(category %in%service), aes(x = group, y = rmse, group = category, color = category)) + 
  geom_line(data = TAIEX_CAT_plot%>%filter(category %in%service), aes(x = group, y = rmse, group = category, color = category)) +
  geom_line(linetype="dashed",data = TAIEX_CAT_plot%>%filter(category %in%service), aes(x = group, y = sign, group = category, color = category))  +
  # 副座標軸：Cases (調整刻度)
  scale_y_continuous(sec.axis = sec_axis(~. *100/0.3, name = "Cases")) +
  labs(title = "TAIEX_服務相關類股分類_RMSE(5 DAYS)", x ="日期", y = "五天內累積確診人數 (*100/0.3)") + 
  theme_bw()

ggplotly(p)

# saveWidget(ggplotly(p), file="plot\\stock\\TAIEX_服務相關類股分類_RMSE(5 DAYS).html")

3.2.8 台灣各類股變動率對單日確診人數變動率作圖

將台股類股指數變動率乘上100使數據直觀

for (i in 1:32){
  df = TAIEX_CAT_list[[i]]
  name = colnames(df)[2]
  colnames(df)[3:6] <- c("std","ROC", "7MA", "7EMA")
  df = full_join(df, data_list[[1]], by = "Date")
  p <- ggplot(df, aes(TW_COVID_ROC , ROC*100,  color=Date)) +
    geom_point() +
    geom_smooth(method = "lm")+
    ylim(-2.5,2.5)+
    labs(title = paste0(name,"類股_變動率對單日確診人數作圖"), x ="單日確診人數", y = "標準化後類股指數") + 
    theme_bw()
  
  print(ggplotly(p))
  # saveWidget(ggplotly(p), file=paste0("plot\\stock\\",name,"類股_變動率對單日確診人數作圖.html"))
  
}

4 情緒分析

## 台股
# 大盤
TAIEX_COVID_df <- as_tibble(readr::read_csv("../rlads_Final_Project/data/cvaw/TAIEX-COVID.csv")) %>%
    mutate(Date = as.Date(X1)) %>%
    select(-X1) %>%
    filter(between(Date, as.Date("2021-04-01"), as.Date("2021-05-31")))

## Warning: Missing column names filled in: 'X1' [1]

## 
## ─ Column specification ────────────────────────────
## cols(
##   X1 = col_date(format = ""),
##   大盤 = col_double(),
##   大盤變動率 = col_double(),
##   `大盤-7日簡單平均線` = col_double(),
##   `大盤-7日指數平均線` = col_double(),
##   日新增案例 = col_double(),
##   `日新增案例-7日簡單平均線` = col_double(),
##   `日新增案例-7日指數平均線` = col_double(),
##   累積案例 = col_double()
## )

# 類股
TAIEX_df <- as_tibble(readr::read_csv("../rlads_Final_Project/data/cvaw/TAIEX.csv")) %>%
    select(-X1) %>%
    mutate(Date = as.Date(Date)) %>%
    filter(between(Date, as.Date("2021-04-01"), as.Date("2021-05-31")))

## Warning: Missing column names filled in: 'X1' [1]

## 
## ─ Column specification ────────────────────────────
## cols(
##   .default = col_double(),
##   Date = col_date(format = "")
## )
## ℹ Use `spec()` for the full column specifications.

# 類股變動率
TAIEX_ROC_df <- as_tibble(readr::read_csv("../rlads_Final_Project/data/cvaw/TAIEX_ROC.csv")) %>%
    select(-X1) %>%
    mutate(Date = as.Date(Date)) %>%
    filter(between(Date, as.Date("2021-04-01"), as.Date("2021-05-31")))

## Warning: Missing column names filled in: 'X1' [1]

## 
## ─ Column specification ────────────────────────────
## cols(
##   .default = col_double(),
##   Date = col_date(format = "")
## )
## ℹ Use `spec()` for the full column specifications.

plt_df_cvaw_covid <- as_tibble(readr::read_csv("../rlads_Final_Project/data/cvaw/cvaw_covid.csv")) %>%
    mutate(Date = as.Date(Date)) %>%
    filter(between(Date, as.Date("2021-04-01"), as.Date("2021-05-31"))) %>%
    mutate(score_sum = round(Valence_Sum * (Arousal_Sum + words_Num * 5), 6), 
           score_avg = if_else(score_sum == 0, 0, round(score_sum / ((words_Num)** 2), 6)))

## 
## ─ Column specification ────────────────────────────
## cols(
##   id = col_double(),
##   Date = col_character(),
##   Valence_Sum = col_double(),
##   Arousal_Sum = col_double(),
##   words_Num = col_double(),
##   Valence_Avg = col_double(),
##   Arousal_Avg = col_double()
## )

# stock板
plt_df_cvaw_stock <- as_tibble(readr::read_csv("../rlads_Final_Project/data/cvaw/cvaw_stock.csv")) %>%
    mutate(Date = as.Date(Date)) %>%
    filter(between(Date, as.Date("2021-04-01"), as.Date("2021-05-31"))) %>%
    mutate(score_sum = round(Valence_Sum * (Arousal_Sum + words_Num * 5), 6), 
           score_avg = if_else(score_sum == 0, 0, round(score_sum / ((words_Num)** 2), 6)))

## Warning: Missing column names filled in: 'X1' [1]

## 
## ─ Column specification ────────────────────────────
## cols(
##   X1 = col_double(),
##   id = col_double(),
##   Date = col_date(format = ""),
##   Valence_Sum = col_double(),
##   Arousal_Sum = col_double(),
##   words_Num = col_double(),
##   Valence_Avg = col_double(),
##   Arousal_Avg = col_double()
## )

## 做每日平均分數
# covid板
group_plt_df_cvaw_covid <- plt_df_cvaw_covid %>%
    group_by(Date) %>%
    summarise(score_sum_date = mean(score_sum), score_avg_date = mean(score_avg)) %>%
    ungroup()

# stock板
group_plt_df_cvaw_stock <- plt_df_cvaw_stock %>%
    group_by(Date) %>%
    summarise(score_sum_date = mean(score_sum), score_avg_date = mean(score_avg)) %>%
    ungroup()

ggplot(data = plt_df_cvaw_covid)+
    geom_point(aes(x = Valence_Avg, y = Arousal_Avg, color = Date), size = 0.1)

ggplot(data = plt_df_cvaw_covid)+
    geom_point(aes(x = Valence_Sum, y = Arousal_Sum, color = Date), size = 0.1)

#
ggplot()+
    geom_hline(yintercept = 0)+
    geom_line(data = group_plt_df_cvaw_covid, aes(x = Date, y = score_avg_date), color = "red")+
    geom_line(data = group_plt_df_cvaw_stock, aes(x = Date, y = score_avg_date), color = "blue")

#
ggplot()+
    geom_hline(yintercept = 0)+
    geom_vline(xintercept = 0)+
    geom_point(aes(x=group_plt_df_cvaw_covid$score_avg_date, y=group_plt_df_cvaw_stock$score_avg_date))+
    geom_smooth(aes(x=group_plt_df_cvaw_covid$score_avg_date, y=group_plt_df_cvaw_stock$score_avg_date))

## `geom_smooth()` using method = 'loess' and formula 'y ~ x'

4.1 各版對大盤指數變動率

# covid-19板對大盤
ggplot()+
    geom_hline(yintercept = 0) +
    geom_point(data = plt_df_cvaw_covid, aes(x = Date , y = score_avg), color = ifelse(plt_df_cvaw_covid$score_avg >= 0, "pink", "lightgreen"), size = 1)+
    geom_line(data = group_plt_df_cvaw_covid, aes(x = Date, y = score_avg_date*5), color = "darkgray") +
    geom_point(data = group_plt_df_cvaw_covid, aes(x = Date, y = score_avg_date*5), 
               color = ifelse(TAIEX_COVID_df$大盤變動率 >= 0, "red", "darkgreen"), 
               size = abs(TAIEX_COVID_df$大盤變動率) * 100) + 
    
    theme_bw() + 
    labs(title = "sentiment analysis in ptt covid-19")

# stock板對大盤
ggplot()+
    geom_hline(yintercept = 0) +
    geom_point(data = plt_df_cvaw_stock, aes(x = Date, y = score_avg), color = ifelse(plt_df_cvaw_stock$score_avg >= 0, "pink", "lightgreen"), size = 1)+
    geom_line(data = group_plt_df_cvaw_stock, aes(x = Date, y = score_avg_date*5), color = "darkgray") + 
    geom_point(data = group_plt_df_cvaw_stock, aes(x = Date, y = score_avg_date*5), 
               color = ifelse(TAIEX_COVID_df$大盤變動率 >= 0, "red", "darkgreen"), 
               size = abs(TAIEX_COVID_df$大盤變動率) * 100) + 
    
    theme_bw() + 
    labs(title = "sentiment analysis in ptt stock") 

## 各版對類股指數變動率

# coivd-19版對類股
ggplot()+
    geom_hline(yintercept = 0) +
    geom_point(data = plt_df_cvaw_covid, aes(x = Date , y = score_avg), color = ifelse(plt_df_cvaw_covid$score_avg >= 0, "pink", "lightgreen"), size = 1)+
    geom_line(data = group_plt_df_cvaw_covid, aes(x = Date, y = score_avg_date*5), color = "darkgray") +
    geom_point(data = group_plt_df_cvaw_covid, aes(x = Date, y = score_avg_date*5), 
               color = ifelse(TAIEX_ROC_df$觀光 >= 0, "red", "darkgreen"), 
               size = abs(TAIEX_ROC_df$觀光) * 100) + 
    
    theme_bw() + 
    labs(title = "sentiment analysis in ptt covid-19")

# stock板對類股
ggplot()+
    geom_hline(yintercept = 0) +
    geom_point(data = plt_df_cvaw_stock, aes(x = Date, y = score_avg), color = ifelse(plt_df_cvaw_stock$score_avg >= 0, "pink", "lightgreen"), size = 1)+
    geom_line(data = group_plt_df_cvaw_stock, aes(x = Date, y = score_avg_date*5), color = "darkgray") + 
    geom_point(data = group_plt_df_cvaw_stock, aes(x = Date, y = score_avg_date*5), 
               color = ifelse(TAIEX_ROC_df$觀光 >= 0, "red", "darkgreen"), 
               size = abs(TAIEX_ROC_df$觀光) * 100) + 
    
    theme_bw() + 
    labs(title = "sentiment analysis in ptt stock")